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Finding the Third Proportional to 32,067 and 36,531

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Solution

The third proportional to 32,067 and 36,531 is: 41,616.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,067 : 36,531 = 36,531 : x
  2. Step 2: Convert to fraction form
    32,067/36,531 = 36,531/x
  3. Step 3: Cross multiply
    32,067x = 36,531 × 36,531
  4. Step 4: Simplify right side
    32,067x = 1,334,513,961
  5. Step 5: Solve for x
    x = 1,334,513,961/32,067
  6. Step 6: Final answer
    x = 41,616.43

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.