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Finding the Third Proportional to 32,731 and 71,347

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Solution

The third proportional to 32,731 and 71,347 is: 155,522.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,731 : 71,347 = 71,347 : x
  2. Step 2: Convert to fraction form
    32,731/71,347 = 71,347/x
  3. Step 3: Cross multiply
    32,731x = 71,347 × 71,347
  4. Step 4: Simplify right side
    32,731x = 5,090,394,409
  5. Step 5: Solve for x
    x = 5,090,394,409/32,731
  6. Step 6: Final answer
    x = 155,522.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.