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Finding the Third Proportional to 20,727 and 32,931

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Solution

The third proportional to 20,727 and 32,931 is: 52,320.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,727 : 32,931 = 32,931 : x
  2. Step 2: Convert to fraction form
    20,727/32,931 = 32,931/x
  3. Step 3: Cross multiply
    20,727x = 32,931 × 32,931
  4. Step 4: Simplify right side
    20,727x = 1,084,450,761
  5. Step 5: Solve for x
    x = 1,084,450,761/20,727
  6. Step 6: Final answer
    x = 52,320.68

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Why These Related Problems?

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