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Finding the Third Proportional to 17,162 and 22,016

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Solution

The third proportional to 17,162 and 22,016 is: 28,242.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,162 : 22,016 = 22,016 : x
  2. Step 2: Convert to fraction form
    17,162/22,016 = 22,016/x
  3. Step 3: Cross multiply
    17,162x = 22,016 × 22,016
  4. Step 4: Simplify right side
    17,162x = 484,704,256
  5. Step 5: Solve for x
    x = 484,704,256/17,162
  6. Step 6: Final answer
    x = 28,242.88

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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.