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Finding the Third Proportional to 4,105 and 8,452

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Solution

The third proportional to 4,105 and 8,452 is: 17,402.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,105 : 8,452 = 8,452 : x
  2. Step 2: Convert to fraction form
    4,105/8,452 = 8,452/x
  3. Step 3: Cross multiply
    4,105x = 8,452 × 8,452
  4. Step 4: Simplify right side
    4,105x = 71,436,304
  5. Step 5: Solve for x
    x = 71,436,304/4,105
  6. Step 6: Final answer
    x = 17,402.27

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.