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Finding the Third Proportional to 17,377 and 27,449

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Solution

The third proportional to 17,377 and 27,449 is: 43,358.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,377 : 27,449 = 27,449 : x
  2. Step 2: Convert to fraction form
    17,377/27,449 = 27,449/x
  3. Step 3: Cross multiply
    17,377x = 27,449 × 27,449
  4. Step 4: Simplify right side
    17,377x = 753,447,601
  5. Step 5: Solve for x
    x = 753,447,601/17,377
  6. Step 6: Final answer
    x = 43,358.90

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.