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Finding the Third Proportional to 27,691 and 60,061

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Solution

The third proportional to 27,691 and 60,061 is: 130,270.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,691 : 60,061 = 60,061 : x
  2. Step 2: Convert to fraction form
    27,691/60,061 = 60,061/x
  3. Step 3: Cross multiply
    27,691x = 60,061 × 60,061
  4. Step 4: Simplify right side
    27,691x = 3,607,323,721
  5. Step 5: Solve for x
    x = 3,607,323,721/27,691
  6. Step 6: Final answer
    x = 130,270.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.