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Finding the Third Proportional to 8,649 and 12,173

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Solution

The third proportional to 8,649 and 12,173 is: 17,132.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,649 : 12,173 = 12,173 : x
  2. Step 2: Convert to fraction form
    8,649/12,173 = 12,173/x
  3. Step 3: Cross multiply
    8,649x = 12,173 × 12,173
  4. Step 4: Simplify right side
    8,649x = 148,181,929
  5. Step 5: Solve for x
    x = 148,181,929/8,649
  6. Step 6: Final answer
    x = 17,132.84

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.