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Finding the Third Proportional to 27,913 and 60,747

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Solution

The third proportional to 27,913 and 60,747 is: 132,203.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,913 : 60,747 = 60,747 : x
  2. Step 2: Convert to fraction form
    27,913/60,747 = 60,747/x
  3. Step 3: Cross multiply
    27,913x = 60,747 × 60,747
  4. Step 4: Simplify right side
    27,913x = 3,690,198,009
  5. Step 5: Solve for x
    x = 3,690,198,009/27,913
  6. Step 6: Final answer
    x = 132,203.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.