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Finding the Third Proportional to 39,160.97 and 82,787.06

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Solution

The third proportional to 39,160.97 and 82,787.06 is: 175,013.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,160.97 : 82,787.06 = 82,787.06 : x
  2. Step 2: Convert to fraction form
    39,160.97/82,787.06 = 82,787.06/x
  3. Step 3: Cross multiply
    39,160.97x = 82,787.06 × 82,787.06
  4. Step 4: Simplify right side
    39,160.97x = 6,853,697,717.38
  5. Step 5: Solve for x
    x = 6,853,697,717.38/39,160.97
  6. Step 6: Final answer
    x = 175,013.49

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.