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Finding the Third Proportional to 43,874 and 59,979

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Solution

The third proportional to 43,874 and 59,979 is: 81,995.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,874 : 59,979 = 59,979 : x
  2. Step 2: Convert to fraction form
    43,874/59,979 = 59,979/x
  3. Step 3: Cross multiply
    43,874x = 59,979 × 59,979
  4. Step 4: Simplify right side
    43,874x = 3,597,480,441
  5. Step 5: Solve for x
    x = 3,597,480,441/43,874
  6. Step 6: Final answer
    x = 81,995.73

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.