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Finding the Third Proportional to 17,697 and 27,474

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Solution

The third proportional to 17,697 and 27,474 is: 42,652.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,697 : 27,474 = 27,474 : x
  2. Step 2: Convert to fraction form
    17,697/27,474 = 27,474/x
  3. Step 3: Cross multiply
    17,697x = 27,474 × 27,474
  4. Step 4: Simplify right side
    17,697x = 754,820,676
  5. Step 5: Solve for x
    x = 754,820,676/17,697
  6. Step 6: Final answer
    x = 42,652.47

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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.