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Finding the Third Proportional to 20,084 and 43,744

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Solution

The third proportional to 20,084 and 43,744 is: 95,276.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,084 : 43,744 = 43,744 : x
  2. Step 2: Convert to fraction form
    20,084/43,744 = 43,744/x
  3. Step 3: Cross multiply
    20,084x = 43,744 × 43,744
  4. Step 4: Simplify right side
    20,084x = 1,913,537,536
  5. Step 5: Solve for x
    x = 1,913,537,536/20,084
  6. Step 6: Final answer
    x = 95,276.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.