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Finding the Third Proportional to 10,400 and 22,744

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Solution

The third proportional to 10,400 and 22,744 is: 49,739.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,400 : 22,744 = 22,744 : x
  2. Step 2: Convert to fraction form
    10,400/22,744 = 22,744/x
  3. Step 3: Cross multiply
    10,400x = 22,744 × 22,744
  4. Step 4: Simplify right side
    10,400x = 517,289,536
  5. Step 5: Solve for x
    x = 517,289,536/10,400
  6. Step 6: Final answer
    x = 49,739.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.