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Finding the Third Proportional to 37,400 and 54,992

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Solution

The third proportional to 37,400 and 54,992 is: 80,858.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,400 : 54,992 = 54,992 : x
  2. Step 2: Convert to fraction form
    37,400/54,992 = 54,992/x
  3. Step 3: Cross multiply
    37,400x = 54,992 × 54,992
  4. Step 4: Simplify right side
    37,400x = 3,024,120,064
  5. Step 5: Solve for x
    x = 3,024,120,064/37,400
  6. Step 6: Final answer
    x = 80,858.83

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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.