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Finding the Third Proportional to 37,227 and 55,923

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Solution

The third proportional to 37,227 and 55,923 is: 84,008.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,227 : 55,923 = 55,923 : x
  2. Step 2: Convert to fraction form
    37,227/55,923 = 55,923/x
  3. Step 3: Cross multiply
    37,227x = 55,923 × 55,923
  4. Step 4: Simplify right side
    37,227x = 3,127,381,929
  5. Step 5: Solve for x
    x = 3,127,381,929/37,227
  6. Step 6: Final answer
    x = 84,008.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.