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Finding the Third Proportional to 9,198 and 19,744

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Solution

The third proportional to 9,198 and 19,744 is: 42,381.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198 : 19,744 = 19,744 : x
  2. Step 2: Convert to fraction form
    9,198/19,744 = 19,744/x
  3. Step 3: Cross multiply
    9,198x = 19,744 × 19,744
  4. Step 4: Simplify right side
    9,198x = 389,825,536
  5. Step 5: Solve for x
    x = 389,825,536/9,198
  6. Step 6: Final answer
    x = 42,381.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.