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Finding the Third Proportional to 8,267 and 12,593

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Solution

The third proportional to 8,267 and 12,593 is: 19,182.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,267 : 12,593 = 12,593 : x
  2. Step 2: Convert to fraction form
    8,267/12,593 = 12,593/x
  3. Step 3: Cross multiply
    8,267x = 12,593 × 12,593
  4. Step 4: Simplify right side
    8,267x = 158,583,649
  5. Step 5: Solve for x
    x = 158,583,649/8,267
  6. Step 6: Final answer
    x = 19,182.73

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.