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Finding the Third Proportional to 17,005.73 and 39,711.16

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Solution

The third proportional to 17,005.73 and 39,711.16 is: 92,732.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,005.73 : 39,711.16 = 39,711.16 : x
  2. Step 2: Convert to fraction form
    17,005.73/39,711.16 = 39,711.16/x
  3. Step 3: Cross multiply
    17,005.73x = 39,711.16 × 39,711.16
  4. Step 4: Simplify right side
    17,005.73x = 1,576,976,202.17
  5. Step 5: Solve for x
    x = 1,576,976,202.17/17,005.73
  6. Step 6: Final answer
    x = 92,732.06

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.