Here's what it says

nephi007 wrote:
Howdy. The manual for my 2013 Silverado crew cab short bed says: 5.3L..V8..K5L HD Colling package.. 3.08 axle ratio..maximum trailer weight 6700 lbs..GCWR 12,200 lbs.. great..so I think I am looking at a max trailer dry weight of 5700 lbs or so given that 1000 lbs has to be set aside for hitch weight and such..so my question is: the Silverado one step up has a gear ratio of 3.42 and max trailer weight of 9500 lbs..How can I get my trucks gear ratio higher without voiding warranty. If i cant I guess I will look for the trailer that will work within my specs since I am keepig this truck. Advise please. Thanks! Passengers are me wife a 10 and 14 year old girls

To make a good decision about staying within limits we really need to discuss:
GVWR
GAWR rear
GAWR front

....these numbers will be on the door sticker.

Forget trailer "dry weight". Best to think in terms of what the trailer "really weighs". A pretty good starting point of discussion on that is 1000 pounds over the dry weight.

If this is a 4WD truck, then changing gears is going to be fairly costly.