Peter, first it's important to remember what John has already said. It's your content that ranks, not your domain name per se.
That said, it looks as though your newly acquired domain has quite a few backlinks (moz.com) and ranks for several key words. Assuming your own site has similar content and you want it to rank for the same key words, I would implement 301 Permanent Redirects.
Per Moz,
"A 301 redirect is a permanent redirect which passes between 90-99% of
link equity (ranking power) to the redirected page. "
While you will pass some link juice, you won't "move" the domain rank, just pass some of the juice.
If your content isn't similar and all you're trying to do is capture users searching for the name, you might not get any benefit from a 301 as users will come to your site and immediately leave when they don't find what they were looking for. That will hurt your rankings.
That leaves you with a choice of buying the domain to keep it from competitors. You could also use it as an additional domain that points users to your current domain via the content.
You could also take some pages from your own domain, and copy them to the new domain with canonical links back to the original pages. You might also reach out to those who created back links to the new domain and ask them to change them to your domain.
I don't think you're going to be able to simply pick up the domain rank from domain A and move it to domain B. My guess is that it's going to take lots of little steps.
There's probably others here who have additional ideas.