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Finding the Third Proportional to 37,092 and 56,882

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Solution

The third proportional to 37,092 and 56,882 is: 87,230.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,092 : 56,882 = 56,882 : x
  2. Step 2: Convert to fraction form
    37,092/56,882 = 56,882/x
  3. Step 3: Cross multiply
    37,092x = 56,882 × 56,882
  4. Step 4: Simplify right side
    37,092x = 3,235,561,924
  5. Step 5: Solve for x
    x = 3,235,561,924/37,092
  6. Step 6: Final answer
    x = 87,230.72

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.