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Finding the Third Proportional to 43,866 and 59,967

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Solution

The third proportional to 43,866 and 59,967 is: 81,977.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,866 : 59,967 = 59,967 : x
  2. Step 2: Convert to fraction form
    43,866/59,967 = 59,967/x
  3. Step 3: Cross multiply
    43,866x = 59,967 × 59,967
  4. Step 4: Simplify right side
    43,866x = 3,596,041,089
  5. Step 5: Solve for x
    x = 3,596,041,089/43,866
  6. Step 6: Final answer
    x = 81,977.87

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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.