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Finding the Third Proportional to 27,766 and 62,501

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Solution

The third proportional to 27,766 and 62,501 is: 140,689.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,766 : 62,501 = 62,501 : x
  2. Step 2: Convert to fraction form
    27,766/62,501 = 62,501/x
  3. Step 3: Cross multiply
    27,766x = 62,501 × 62,501
  4. Step 4: Simplify right side
    27,766x = 3,906,375,001
  5. Step 5: Solve for x
    x = 3,906,375,001/27,766
  6. Step 6: Final answer
    x = 140,689.15

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.