I’ve seen this situation. Had an EUT a couple of months ago that passed conducted emissions but failed RE at 37MHz. It passed RE when we used a 10-foot line cord but failed with a 2m line cord. Common-mode noise was radiating on the line cord: 2m is 1/4 wavelength at 37MHz. They are now shipping the product with a giant ferrite on the line cord 
Be careful with extrapolating RE from cable C-M current measurements. I had a client years ago who did this. I asked about a particular 2-conductor unshielded cable, and he was adamant that it couldn’t be the problem - “I measured the C-M current on that cable and according to Henry Ott’s formula it cannot account for the radiated emissions”. He kept moving to more and more expensive connectors for a multi-conductor shielded cable that he was convinced was the source of the problem. I added a 10-cent ferrite to the unshielded cable and the problem went away.