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Finding the Third Proportional to 40,892 and 59,991

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Solution

The third proportional to 40,892 and 59,991 is: 88,010.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,892 : 59,991 = 59,991 : x
  2. Step 2: Convert to fraction form
    40,892/59,991 = 59,991/x
  3. Step 3: Cross multiply
    40,892x = 59,991 × 59,991
  4. Step 4: Simplify right side
    40,892x = 3,598,920,081
  5. Step 5: Solve for x
    x = 3,598,920,081/40,892
  6. Step 6: Final answer
    x = 88,010.37

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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.