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Finding the Third Proportional to 31,951.13 and 72,829.13

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Solution

The third proportional to 31,951.13 and 72,829.13 is: 166,006.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,951.13 : 72,829.13 = 72,829.13 : x
  2. Step 2: Convert to fraction form
    31,951.13/72,829.13 = 72,829.13/x
  3. Step 3: Cross multiply
    31,951.13x = 72,829.13 × 72,829.13
  4. Step 4: Simplify right side
    31,951.13x = 5,304,081,448.27
  5. Step 5: Solve for x
    x = 5,304,081,448.27/31,951.13
  6. Step 6: Final answer
    x = 166,006.09

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.