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Finding the Third Proportional to 9,002 and 19,198

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Solution

The third proportional to 9,002 and 19,198 is: 40,942.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,002 : 19,198 = 19,198 : x
  2. Step 2: Convert to fraction form
    9,002/19,198 = 19,198/x
  3. Step 3: Cross multiply
    9,002x = 19,198 × 19,198
  4. Step 4: Simplify right side
    9,002x = 368,563,204
  5. Step 5: Solve for x
    x = 368,563,204/9,002
  6. Step 6: Final answer
    x = 40,942.37

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.