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Finding the Third Proportional to 17,531 and 27,161

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Solution

The third proportional to 17,531 and 27,161 is: 42,080.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,531 : 27,161 = 27,161 : x
  2. Step 2: Convert to fraction form
    17,531/27,161 = 27,161/x
  3. Step 3: Cross multiply
    17,531x = 27,161 × 27,161
  4. Step 4: Simplify right side
    17,531x = 737,719,921
  5. Step 5: Solve for x
    x = 737,719,921/17,531
  6. Step 6: Final answer
    x = 42,080.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.