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Finding the Third Proportional to 32,724 and 51,902

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Solution

The third proportional to 32,724 and 51,902 is: 82,319.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,724 : 51,902 = 51,902 : x
  2. Step 2: Convert to fraction form
    32,724/51,902 = 51,902/x
  3. Step 3: Cross multiply
    32,724x = 51,902 × 51,902
  4. Step 4: Simplify right side
    32,724x = 2,693,817,604
  5. Step 5: Solve for x
    x = 2,693,817,604/32,724
  6. Step 6: Final answer
    x = 82,319.33

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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.