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Finding the Third Proportional to 12,084 and 16,478

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Solution

The third proportional to 12,084 and 16,478 is: 22,469.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,084 : 16,478 = 16,478 : x
  2. Step 2: Convert to fraction form
    12,084/16,478 = 16,478/x
  3. Step 3: Cross multiply
    12,084x = 16,478 × 16,478
  4. Step 4: Simplify right side
    12,084x = 271,524,484
  5. Step 5: Solve for x
    x = 271,524,484/12,084
  6. Step 6: Final answer
    x = 22,469.75

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.