marble problem

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marble problem

marble problem Description

 I have a Marble (http://www.lightemprador.com) shower. A few of the Tiles (http://www.g682.net) have small areas where one of the minerals in the tile  has crumbled into tiny shards. When I clean the water off the Tiles (http://www.g682.net) with a window wiper, these tiny, minute bits have fallen out. At first, not knowing where the black bits had come from, I threw them out.
    How can I fill those small areas so that there is no more damage? I am very upset by this.
Thank you for your help.
Gale