Quick method:

change /private/etc/paths putting ahead /usr/local/...

/usr/local/bin
/usr/local/sbin
/bin
/usr/bin
/usr/sbin
/sbin

Then, unzip this precompiled rsync into /usr/local/bin

Restart the Terminal and run

rsync --version

This should be the output:

rsync version 3.0.9 protocol version 30
Copyright (C) 1996-2011 by Andrew Tridgell, Wayne Davison, and others.
Web site: http://rsync.samba.org/
Capabilities:
64-bit files, 64-bit inums, 64-bit timestamps, 64-bit long ints,
socketpairs, hardlinks, symlinks, IPv6, batchfiles, inplace,
append, ACLs, xattrs, iconv, symtimes