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Finding the Third Proportional to 37,822 and 54,137

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Solution

The third proportional to 37,822 and 54,137 is: 77,489.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,822 : 54,137 = 54,137 : x
  2. Step 2: Convert to fraction form
    37,822/54,137 = 54,137/x
  3. Step 3: Cross multiply
    37,822x = 54,137 × 54,137
  4. Step 4: Simplify right side
    37,822x = 2,930,814,769
  5. Step 5: Solve for x
    x = 2,930,814,769/37,822
  6. Step 6: Final answer
    x = 77,489.68

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.