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Finding the Third Proportional to 17,734 and 26,474

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Solution

The third proportional to 17,734 and 26,474 is: 39,521.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,734 : 26,474 = 26,474 : x
  2. Step 2: Convert to fraction form
    17,734/26,474 = 26,474/x
  3. Step 3: Cross multiply
    17,734x = 26,474 × 26,474
  4. Step 4: Simplify right side
    17,734x = 700,872,676
  5. Step 5: Solve for x
    x = 700,872,676/17,734
  6. Step 6: Final answer
    x = 39,521.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.