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Finding the Third Proportional to 39,866 and 62,225

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Solution

The third proportional to 39,866 and 62,225 is: 97,124.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,866 : 62,225 = 62,225 : x
  2. Step 2: Convert to fraction form
    39,866/62,225 = 62,225/x
  3. Step 3: Cross multiply
    39,866x = 62,225 × 62,225
  4. Step 4: Simplify right side
    39,866x = 3,871,950,625
  5. Step 5: Solve for x
    x = 3,871,950,625/39,866
  6. Step 6: Final answer
    x = 97,124.13

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.