Subject: [Mutual Connection] suggested we connect
Hi [First Name],
[Mutual Connection's Name] mentioned you're the perfect person to talk with about [Relevant Topic] at [Company].
[Mutual Connection] knows we helped [Their Company/Previous Company] achieve [Result] with [Solution], and thought you might be facing similar challenges.
From [Mutual Connection]'s description, [Company]'s situation with [Challenge] sounds familiar. [Client] had the exact same issue and saw [Specific Improvement] after implementing our approach.
[Mutual Connection] suggested I reach out directly rather than asking for a formal introduction.
Worth a 15-minute conversation to see if there's a fit?
Best,
[Your Name]
P.S. [Mutual Connection] mentioned [Personal Detail] - small world!