[ElectricPenguin]

Knowing the number in your situation doesn't change much in your situation. You still won't provide the first number.

However, since you know where the first number will be (within 5-10K) depending on your presentation up to this point.

Either:

A. You will provide a reason or reasons you are more valuable than that number (in value to the company, which they will accept or reject)

B. You will show you are more experienced than someone who would be a good fit for this position

C. You will accept their assessment of an offer in that range.

You should research the market value of this position it won't help your negotiation (I wouldn't recommend trying to convince someone they are paying their people too little) but it will tell you whether their offer is acceptable.