There are two ways this benefits you:

1)  KCRS has an audience unique from your audience.  You gain exposure to this audience and perhaps remind a reader who hasn’t been to your blog lately how much they enjoyed reading it.

2) You get a backlink from the site that can be seen by Google.  If you have done any reading on search engine optimization trends, you know that Google keeps increasing the value it places on links from sites that are on a similar topic.  If you write about food or restaurants in KC, a link from KCRS is a highly topical link that will improve your authority.