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Finding the Third Proportional to 27,704 and 60,511

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Solution

The third proportional to 27,704 and 60,511 is: 132,167.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,704 : 60,511 = 60,511 : x
  2. Step 2: Convert to fraction form
    27,704/60,511 = 60,511/x
  3. Step 3: Cross multiply
    27,704x = 60,511 × 60,511
  4. Step 4: Simplify right side
    27,704x = 3,661,581,121
  5. Step 5: Solve for x
    x = 3,661,581,121/27,704
  6. Step 6: Final answer
    x = 132,167.96

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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.