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Finding the Third Proportional to 37,162 and 54,499

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Solution

The third proportional to 37,162 and 54,499 is: 79,924.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,162 : 54,499 = 54,499 : x
  2. Step 2: Convert to fraction form
    37,162/54,499 = 54,499/x
  3. Step 3: Cross multiply
    37,162x = 54,499 × 54,499
  4. Step 4: Simplify right side
    37,162x = 2,970,141,001
  5. Step 5: Solve for x
    x = 2,970,141,001/37,162
  6. Step 6: Final answer
    x = 79,924.14

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