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Finding the Third Proportional to 16,204 and 33,531

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Solution

The third proportional to 16,204 and 33,531 is: 69,385.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,204 : 33,531 = 33,531 : x
  2. Step 2: Convert to fraction form
    16,204/33,531 = 33,531/x
  3. Step 3: Cross multiply
    16,204x = 33,531 × 33,531
  4. Step 4: Simplify right side
    16,204x = 1,124,327,961
  5. Step 5: Solve for x
    x = 1,124,327,961/16,204
  6. Step 6: Final answer
    x = 69,385.83

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.