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Finding the Third Proportional to 37,227.75 and 77,463

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Solution

The third proportional to 37,227.75 and 77,463 is: 161,183.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,227.75 : 77,463 = 77,463 : x
  2. Step 2: Convert to fraction form
    37,227.75/77,463 = 77,463/x
  3. Step 3: Cross multiply
    37,227.75x = 77,463 × 77,463
  4. Step 4: Simplify right side
    37,227.75x = 6,000,516,369
  5. Step 5: Solve for x
    x = 6,000,516,369/37,227.75
  6. Step 6: Final answer
    x = 161,183.97

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.