I wonder if I could ask a little further about this one. I understand 次のやる気 = "willingness / motivation to challenge next (target)", but I still can't exactly see how につながる fits in.
According to the dictionary, つながる means "to be tied together; to be connected to; to be related to". So, does it mean, literally, that something (i.e. the subject of つながる) is "tied/connected/related" to 次のやる気? Who/what is the subject of つながる? Is it the person being addressed? The achievement mentioned in the previous sentence?