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Finding the Third Proportional to 37,332 and 54,891

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Solution

The third proportional to 37,332 and 54,891 is: 80,708.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,332 : 54,891 = 54,891 : x
  2. Step 2: Convert to fraction form
    37,332/54,891 = 54,891/x
  3. Step 3: Cross multiply
    37,332x = 54,891 × 54,891
  4. Step 4: Simplify right side
    37,332x = 3,013,021,881
  5. Step 5: Solve for x
    x = 3,013,021,881/37,332
  6. Step 6: Final answer
    x = 80,708.83

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.