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Finding the Third Proportional to 16,504 and 33,872

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Solution

The third proportional to 16,504 and 33,872 is: 69,517.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,504 : 33,872 = 33,872 : x
  2. Step 2: Convert to fraction form
    16,504/33,872 = 33,872/x
  3. Step 3: Cross multiply
    16,504x = 33,872 × 33,872
  4. Step 4: Simplify right side
    16,504x = 1,147,312,384
  5. Step 5: Solve for x
    x = 1,147,312,384/16,504
  6. Step 6: Final answer
    x = 69,517.23

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.