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Finding the Third Proportional to 27,684 and 60,744

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Solution

The third proportional to 27,684 and 60,744 is: 133,283.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,684 : 60,744 = 60,744 : x
  2. Step 2: Convert to fraction form
    27,684/60,744 = 60,744/x
  3. Step 3: Cross multiply
    27,684x = 60,744 × 60,744
  4. Step 4: Simplify right side
    27,684x = 3,689,833,536
  5. Step 5: Solve for x
    x = 3,689,833,536/27,684
  6. Step 6: Final answer
    x = 133,283.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.