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THIRD COUSINS
                ... THREE TIMES REMOVED

First Cousins - Share a set of grandparents. They are the children of your parents' siblings.
Second Cousins - Share great-grandparents.
Third Cousins - Share great-great-grandparents.
Fourth Cousins - Share great-great-great grandparents and so on.

Removed - Refers to the separation by a generation.

First cousin once removed - Your first cousin's children are your cousins once removed (one generation from being your first cousin).

First cousin twice removed - Your first cousin's grandchildren are your cousins twice removed (by two generations).

And your third cousin three times removed? Third cousins share a set of great-great-grandparents. The "thrice removed" would be a third cousin's great grandchildren. For avid genealogists, that's almost immediate family!

Adapted from the Fort Worth Star-Telegram Q & A Column, n.d.

Granduncle Mark's Genealogy Parlor gives a very careful analysis of family relationships and the mistakes that are commonly made.