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Finding the Third Proportional to 32,067 and 50,967

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Solution

The third proportional to 32,067 and 50,967 is: 81,006.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,067 : 50,967 = 50,967 : x
  2. Step 2: Convert to fraction form
    32,067/50,967 = 50,967/x
  3. Step 3: Cross multiply
    32,067x = 50,967 × 50,967
  4. Step 4: Simplify right side
    32,067x = 2,597,635,089
  5. Step 5: Solve for x
    x = 2,597,635,089/32,067
  6. Step 6: Final answer
    x = 81,006.49

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.