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Finding the Third Proportional to 12,849 and 14,193

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Solution

The third proportional to 12,849 and 14,193 is: 15,677.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,849 : 14,193 = 14,193 : x
  2. Step 2: Convert to fraction form
    12,849/14,193 = 14,193/x
  3. Step 3: Cross multiply
    12,849x = 14,193 × 14,193
  4. Step 4: Simplify right side
    12,849x = 201,441,249
  5. Step 5: Solve for x
    x = 201,441,249/12,849
  6. Step 6: Final answer
    x = 15,677.58

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.