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Finding the Third Proportional to 8,286 and 9,474

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Solution

The third proportional to 8,286 and 9,474 is: 10,832.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,286 : 9,474 = 9,474 : x
  2. Step 2: Convert to fraction form
    8,286/9,474 = 9,474/x
  3. Step 3: Cross multiply
    8,286x = 9,474 × 9,474
  4. Step 4: Simplify right side
    8,286x = 89,756,676
  5. Step 5: Solve for x
    x = 89,756,676/8,286
  6. Step 6: Final answer
    x = 10,832.33

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.