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Finding the Third Proportional to 20,916 and 44,744

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Solution

The third proportional to 20,916 and 44,744 is: 95,717.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,916 : 44,744 = 44,744 : x
  2. Step 2: Convert to fraction form
    20,916/44,744 = 44,744/x
  3. Step 3: Cross multiply
    20,916x = 44,744 × 44,744
  4. Step 4: Simplify right side
    20,916x = 2,002,025,536
  5. Step 5: Solve for x
    x = 2,002,025,536/20,916
  6. Step 6: Final answer
    x = 95,717.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.