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The Cowboys moved up to #6, giving the Rams their 14th pick and the #45 pick.
With #6, the Cowboys selected LSU cornerback Morris Claiborne.
UPDATE:
The Cowboys went bold and made a move for a guy they really wanted, and they only gave up their 2nd round pick to move up eight spots in the first round, all the way to #6. That's a great deal. Long ago, defensive coordinator Rob Ryan said he was only looking at defensive backs, and he was true to his word. The Cowboys got the best corner in the draft, and they have now upgraded a weak secondary into what should be a strength with the addition of Claiborne and Brandon Carr.
A while back at BTB, OCC brought up the possibility of the Cowboys moving up for Claiborne. It seemed like a fantasy then, but now it's a reality.