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Finding the Third Proportional to 20,432 and 32,531

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Solution

The third proportional to 20,432 and 32,531 is: 51,794.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,432 : 32,531 = 32,531 : x
  2. Step 2: Convert to fraction form
    20,432/32,531 = 32,531/x
  3. Step 3: Cross multiply
    20,432x = 32,531 × 32,531
  4. Step 4: Simplify right side
    20,432x = 1,058,265,961
  5. Step 5: Solve for x
    x = 1,058,265,961/20,432
  6. Step 6: Final answer
    x = 51,794.54

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.