Acts 3:13 (NLT)
For it is the God of Abraham, Isaac, and Jacob...who has brought glory to his servant Jesus by doing this.
-- We're told several times in scriptue that this is the reason behind miraculous healings - to bring glory to Jesus and attest to his divine nature.
Sadly we often pray for healings today, being told to expect them, which then leads to discouagement and even a crisis of faith when they don't happen. I remind myself that there must have been many other blind, lame and afflicted people who were not healed that day. I wonder how Peter and John knew that God wanted them to heal this particular one.
What a great day for this lame man when YHWH chose him to glorify Jesus this way!
Acts 3:8 (NLT)
He jumped up, stood on his feet, and began to walk! Then, walking, leaping, and praising God, he went into the Temple with them.
-- I bet he began "praising God!"
-- Also, being lame from birth he would never before have been allowed to enter the temple. This miracle gives us a great physical illustration of how Jesus heals all of us spiritually to bring us into communion with God.