Hi {{PROSPECT_FIRST_NAME}},

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I recently spoke with {{Mutual_Connection_Name}}, who mentioned the {{Position}} opening at {{PROSPECT_COMPANY}}.

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In my last position at {{Previous_Company}}, I led a project that resulted in {{specific_achievement_metric}}, and I’m eager to bring that experience to your team.

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May I send my resume for your review?

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Thanks,

{{YOUR_NAME}}

{{YOUR_CONTACT_INFORMATION}}