Facing deuce point, senior came out on top of 25-shot rally to clinch win.
UCLA will host UCF in Sunday's championship match (1:30 p.m., PT).
No. 10 UCLA will take on San Diego State Saturday (12 p.m., PT), UCF/San Diego Sunday.
Nanda, Smith were top UCLA performers; Bruins return to dual-match play Saturday at home.
Hance clinched win in return to courts.
First serve at Los Angeles Tennis Center is scheduled for 2 p.m., PT.