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Finding the Third Proportional to 40,891 and 59,989

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Solution

The third proportional to 40,891 and 59,989 is: 88,006.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,891 : 59,989 = 59,989 : x
  2. Step 2: Convert to fraction form
    40,891/59,989 = 59,989/x
  3. Step 3: Cross multiply
    40,891x = 59,989 × 59,989
  4. Step 4: Simplify right side
    40,891x = 3,598,680,121
  5. Step 5: Solve for x
    x = 3,598,680,121/40,891
  6. Step 6: Final answer
    x = 88,006.65

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.