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Finding the Third Proportional to 16,002 and 20,922

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Solution

The third proportional to 16,002 and 20,922 is: 27,354.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,002 : 20,922 = 20,922 : x
  2. Step 2: Convert to fraction form
    16,002/20,922 = 20,922/x
  3. Step 3: Cross multiply
    16,002x = 20,922 × 20,922
  4. Step 4: Simplify right side
    16,002x = 437,730,084
  5. Step 5: Solve for x
    x = 437,730,084/16,002
  6. Step 6: Final answer
    x = 27,354.71

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.