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Finding the Third Proportional to 39,832 and 83,744

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Solution

The third proportional to 39,832 and 83,744 is: 176,065.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,832 : 83,744 = 83,744 : x
  2. Step 2: Convert to fraction form
    39,832/83,744 = 83,744/x
  3. Step 3: Cross multiply
    39,832x = 83,744 × 83,744
  4. Step 4: Simplify right side
    39,832x = 7,013,057,536
  5. Step 5: Solve for x
    x = 7,013,057,536/39,832
  6. Step 6: Final answer
    x = 176,065.92

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.