* Engine: The 5.7L Hemi, 6.7L Cummins diesel, and 8.0L V10 all have different towing capacities.
* Cab and Bed Configuration: A single cab, long bed truck will have a different capacity than a crew cab, short bed.
* Transmission: Automatic vs. manual transmissions also affect capacity.
* Options: Certain options and packages can influence the maximum tow rating.
To find the precise towing capacity for *your* specific 2005 Dodge Ram 3500, you need to:
1. Locate the sticker: Check the sticker on the driver's side doorjamb. This sticker will list the vehicle's GVWR (Gross Vehicle Weight Rating), GAWR (Gross Axle Weight Rating - front and rear), and the maximum towing capacity for your specific configuration.
2. Consult the owner's manual: Your owner's manual should have a section detailing the towing capacities for different configurations.
Without knowing the exact engine, cab configuration, and transmission, it's impossible to give you a reliable towing capacity figure. The 3.73 axle ratio is just one component in the equation.