PALM HARBOR, Fla. — Jordan Spieth and his world-class short game came up big in a playoff victory Sunday at the Valspar Championship.

Spieth capped off an afternoon of back-nine charges, clutch putts and unseemly par saves by making a 30-foot birdie putt on the third extra hole of a playoff at Innisbrook to beat Ryder Cup teammates Patrick Reed and Sean O’Hair.

“A crazy back nine,” said Spieth, who won for the second time in his PGA Tour career and fourth time worldwide to reach a career-high No. 6 in the world.

The 21-year-old Spieth was three shots behind with six holes to play when he made two birdies to catch a faltering Ryan Moore, and then saved par on his final three holes for a 2-under 69 to join the playoff. And these par saves were not what anyone would call routine.

With his right foot in the bunker and his left foot on grass well above the ball in the sand, he blasted out to 3 feet on the 16th. From deep rough on a hill, he hit a flop shot to a short pin to 6 feet to stay tied for the lead. And he holed a 12-foot par putt on the 18th that fell in the left side of the cup.

Reed was just as impressive with his short game to keep his hopes alive in the eighth and perhaps most compelling playoff on the PGA Tour this season. He buried a 30-foot birdie putt on the 18th hole for a bogey-free 66, pumping his fist as if he were still in Gleneagles at the Ryder Cup.

Reed was the first to finish at 10-under 274.

On the 18th hole in a playoff, he was buried in the lip of a bunker, blasted out to just under 10 feet and made par to stay in the game after Spieth missed from 10 feet. On the next playoff hole, the tough 16th, Reed had no chance well behind the green in grass so deep he could barely see his ball. That came out perfectly for another par.

Reed, who went the final 29 holes without a bogey on the Copperhead course, never had a chance to try for a third par save when Spieth hit the winner.

Not to be overlooked was O’Hair, who has had to earn his full PGA Tour card the last two years in the Web.com Tour Finals. He poured in a pair of big birdies on the back nine, including a 30-footer on the 16th, and made a tough par save on the 18th in regulation.

O’Hair had a 12-foot birdie putt for the win on the second extra hole, and the putt caught the right side of the cup.

Spieth earned a small measure of redemption against Reed, a friend and Ryder Cup partner. Reed beat him in a playoff at the Wyndham Championship in 2013 for the first of Reed’s four PGA Tour wins.

Reed ran into a pair of 12-foot birdie putts to get within one shot, and then made his big birdie on the 18th. O’Hair ran off four birdies in a six-hole stretch, and finished with a tough par. His drive went into the trees and his approach stopped against the collar of the green some 50 feet away. Using the blade of his wedge, he knocked it up to 5 feet and holed the putt for a 67 to join Reed at 274.