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Finding the Third Proportional to 39,472 and 59,088

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Solution

The third proportional to 39,472 and 59,088 is: 88,452.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,472 : 59,088 = 59,088 : x
  2. Step 2: Convert to fraction form
    39,472/59,088 = 59,088/x
  3. Step 3: Cross multiply
    39,472x = 59,088 × 59,088
  4. Step 4: Simplify right side
    39,472x = 3,491,391,744
  5. Step 5: Solve for x
    x = 3,491,391,744/39,472
  6. Step 6: Final answer
    x = 88,452.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.