Funny how someone can say "I'm interested in you", yet when given the opportunity to actually to get to know them, they have nothing more to say than "I want to be with you" or "I'm attracted to you". They make no inquiries as to what that person likes to do, what they believe, what kind of morals they have, what kind of friend they are, etc. A person that is truly "interested", will ask questions (lots of them)... look for commonalities.... establish whether or not there is a potential for compatibility.
The statements "I want to be with you" or "I'm attracted to you" are merely indicative of a physical desire to have or be close to someone. To say "I'm interested" means they want to learn about the mind and the heart, not just the physical. Please recognize the difference or the result will inevitably be hurt or disappointment. I, personally, will shut down as soon as it becomes apparent that "I'm interested" really means "I want".