In a 2 to 3-quart pan over high heat,bring about 1 quart water to a boil. Immerse peaches in boiling waetr for 15 seconds; drain.
When peaches are cool enough to touch, in 1 to 2 minutes, peel, pit, and cut into chunks. In a blender, combine peaches, yogurt, brown sugar, and cinnamon; whirl on high speed until smooth, about 1 minute.
Add ice and blend until smooth, about 2 minutes longer.
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