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Finding the Third Proportional to 10,198 and 18,704

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Solution

The third proportional to 10,198 and 18,704 is: 34,304.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,198 : 18,704 = 18,704 : x
  2. Step 2: Convert to fraction form
    10,198/18,704 = 18,704/x
  3. Step 3: Cross multiply
    10,198x = 18,704 × 18,704
  4. Step 4: Simplify right side
    10,198x = 349,839,616
  5. Step 5: Solve for x
    x = 349,839,616/10,198
  6. Step 6: Final answer
    x = 34,304.73

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.