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Finding the Third Proportional to 39,496 and 52,188

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Solution

The third proportional to 39,496 and 52,188 is: 68,958.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,496 : 52,188 = 52,188 : x
  2. Step 2: Convert to fraction form
    39,496/52,188 = 52,188/x
  3. Step 3: Cross multiply
    39,496x = 52,188 × 52,188
  4. Step 4: Simplify right side
    39,496x = 2,723,587,344
  5. Step 5: Solve for x
    x = 2,723,587,344/39,496
  6. Step 6: Final answer
    x = 68,958.56

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.