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Finding the Third Proportional to 6,182 and 9,267

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Solution

The third proportional to 6,182 and 9,267 is: 13,891.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,182 : 9,267 = 9,267 : x
  2. Step 2: Convert to fraction form
    6,182/9,267 = 9,267/x
  3. Step 3: Cross multiply
    6,182x = 9,267 × 9,267
  4. Step 4: Simplify right side
    6,182x = 85,877,289
  5. Step 5: Solve for x
    x = 85,877,289/6,182
  6. Step 6: Final answer
    x = 13,891.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.