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Finding the Third Proportional to 8,286 and 11,591

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Solution

The third proportional to 8,286 and 11,591 is: 16,214.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,286 : 11,591 = 11,591 : x
  2. Step 2: Convert to fraction form
    8,286/11,591 = 11,591/x
  3. Step 3: Cross multiply
    8,286x = 11,591 × 11,591
  4. Step 4: Simplify right side
    8,286x = 134,351,281
  5. Step 5: Solve for x
    x = 134,351,281/8,286
  6. Step 6: Final answer
    x = 16,214.25

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.