Will some meteorological nerd please explain to me the following... 

Why can the wind carry an ember from a fire to another location without putting it out ?   After all,  if I blow on a match, I can put it out.  It doesn't carry the flame to another part of the house.

I understand that wind has no cooling properties per se,  but if the wind is cooler than the fire, why can't it put it out ?   

I realize I sound like an ignoramus,  but sometimes simple scientific principles vex me.