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Finding the Third Proportional to 37,892 and 56,839

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Solution

The third proportional to 37,892 and 56,839 is: 85,260.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,892 : 56,839 = 56,839 : x
  2. Step 2: Convert to fraction form
    37,892/56,839 = 56,839/x
  3. Step 3: Cross multiply
    37,892x = 56,839 × 56,839
  4. Step 4: Simplify right side
    37,892x = 3,230,671,921
  5. Step 5: Solve for x
    x = 3,230,671,921/37,892
  6. Step 6: Final answer
    x = 85,260.00

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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.