In the day's opening game, Yaron Peters connected for a two-run homer in the top of the ninth inning to give South Carolina a 10-8 victory that eliminated Nebraska.
Clemson (54-15) earned two days off and will play on Wednesday with a chance to reach the title game. The Tigers will meet Georgia Tech (52-15) or South Carolina, who meet in an elimination game on Tuesday.
The Tigers sent 12 men to the plate in the second to build an 8-0 lead. Kyle Frank opened the scoring with an RBI single and a two-run single by David Slevin made it 3-0.
Khalil Greene walked to load the bases with two outs but Baker smashed a 1-2 pitch from Yellow Jackets starter Chris Goodman (8-2) into left center field for a 6-0 lead. Michael Johnson and Roberto Valiente added back-to-back doubles to cap the outburst.
Georgia Tech closed to within 8-5 by scoring three runs in the third inning. The final two scored on an error by Baker at third base.
Jeff Hahn (3-0) entered in the fourth and allowed two runs and five hits in 3 2/3 innings. Matt Henrie, who won Friday's game with Nebraska, yielded just one hit in 2 1/3 innings for his first save.
Earlier in the day, Drew Meyer led off the ninth with a walk for South Carolina (54-17), but Nebraska reliever Jeremy Becker (2-2) struck out Justin Harris. Peters followed with his 29th homer off a 2-2 delivery to give the Gamecocks a 10-8 lead.
John Wesley (2-0) allowed a one-out single to John Grose before retiring the side in the ninth inning. He allowed one run and two hits in 3 1/3 innings of relief.
Nebraska (47-21) concluded its season with another disappointing College World Series performance in its home state. Making their second CWS appearance, the Cornhuskers went 0-2 for the second straight year.