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Finding the Third Proportional to 39,697 and 85,626

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Solution

The third proportional to 39,697 and 85,626 is: 184,694.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,697 : 85,626 = 85,626 : x
  2. Step 2: Convert to fraction form
    39,697/85,626 = 85,626/x
  3. Step 3: Cross multiply
    39,697x = 85,626 × 85,626
  4. Step 4: Simplify right side
    39,697x = 7,331,811,876
  5. Step 5: Solve for x
    x = 7,331,811,876/39,697
  6. Step 6: Final answer
    x = 184,694.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.