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Finding the Third Proportional to 39,866 and 59,979

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Solution

The third proportional to 39,866 and 59,979 is: 90,239.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,866 : 59,979 = 59,979 : x
  2. Step 2: Convert to fraction form
    39,866/59,979 = 59,979/x
  3. Step 3: Cross multiply
    39,866x = 59,979 × 59,979
  4. Step 4: Simplify right side
    39,866x = 3,597,480,441
  5. Step 5: Solve for x
    x = 3,597,480,441/39,866
  6. Step 6: Final answer
    x = 90,239.31

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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.