Fill in NoData gaps in raster using ArcGIS for Desktop?

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I have a raster with gaps in it. I want to fill these in with averages of surrounding cells using ArcGIS 10.2 for Desktop.

I have tried "Focal Statistics" but it averages EVERY cell and not just the gaps.

I have tried [Mosaic].IsNull.Con([Average], [Mosaic]) found here Patching but don't know how to implement it/it won't work for me

I have tried Map ALgebra but I think they were using versions before 10.2.

What I want. Make a fake raster with gaps filled in. Use the fake raster to fill in the gaps of the real raster without replacing the points with actual data.



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