I have about 35,000 photos and work with them, i.e. LR is storing the data in a catalog.
I want to use these data on the same photos on my Mac Pro with LR 6.1.1 as well
What do i have to do to get these data on the Mac Pro?
As i understand your question you basically want to transfer catalog with al pictures to MacPro..Correct me if i am wrong..If not so:
Scenario 1:-If your Pictures are stored Internally in MAC HD
Connect an Extenal Drive
Open the catalog with 3500 pictures
Click on All Pictures from Left hand panel in Library Module
File>>Export as catalog
Take external drive to MacPro and open the catalog
Scenario 2:-If Pics are located on External drive
You can serve external drive a common storage for both computers
Go to Lightroom>>Catalog setting>>Show
Just take this catalog to MACPro
Make sure you have plenty of space left in External drive
Another Way--Refer How do I move Lightroom to a new computer?