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Finding the Third Proportional to 27,764 and 62,498

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Solution

The third proportional to 27,764 and 62,498 is: 140,685.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,764 : 62,498 = 62,498 : x
  2. Step 2: Convert to fraction form
    27,764/62,498 = 62,498/x
  3. Step 3: Cross multiply
    27,764x = 62,498 × 62,498
  4. Step 4: Simplify right side
    27,764x = 3,906,000,004
  5. Step 5: Solve for x
    x = 3,906,000,004/27,764
  6. Step 6: Final answer
    x = 140,685.78

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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.