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Finding the Third Proportional to 37,342 and 56,793

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Solution

The third proportional to 37,342 and 56,793 is: 86,375.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,342 : 56,793 = 56,793 : x
  2. Step 2: Convert to fraction form
    37,342/56,793 = 56,793/x
  3. Step 3: Cross multiply
    37,342x = 56,793 × 56,793
  4. Step 4: Simplify right side
    37,342x = 3,225,444,849
  5. Step 5: Solve for x
    x = 3,225,444,849/37,342
  6. Step 6: Final answer
    x = 86,375.79

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.