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Finding the Third Proportional to 23,198 and 49,744

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Solution

The third proportional to 23,198 and 49,744 is: 106,667.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,198 : 49,744 = 49,744 : x
  2. Step 2: Convert to fraction form
    23,198/49,744 = 49,744/x
  3. Step 3: Cross multiply
    23,198x = 49,744 × 49,744
  4. Step 4: Simplify right side
    23,198x = 2,474,465,536
  5. Step 5: Solve for x
    x = 2,474,465,536/23,198
  6. Step 6: Final answer
    x = 106,667.19

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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.