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Finding the Third Proportional to 12,814 and 16,374

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Solution

The third proportional to 12,814 and 16,374 is: 20,923.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,814 : 16,374 = 16,374 : x
  2. Step 2: Convert to fraction form
    12,814/16,374 = 16,374/x
  3. Step 3: Cross multiply
    12,814x = 16,374 × 16,374
  4. Step 4: Simplify right side
    12,814x = 268,107,876
  5. Step 5: Solve for x
    x = 268,107,876/12,814
  6. Step 6: Final answer
    x = 20,923.04

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.