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Finding the Third Proportional to 22,436 and 47,198

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Solution

The third proportional to 22,436 and 47,198 is: 99,289.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,436 : 47,198 = 47,198 : x
  2. Step 2: Convert to fraction form
    22,436/47,198 = 47,198/x
  3. Step 3: Cross multiply
    22,436x = 47,198 × 47,198
  4. Step 4: Simplify right side
    22,436x = 2,227,651,204
  5. Step 5: Solve for x
    x = 2,227,651,204/22,436
  6. Step 6: Final answer
    x = 99,289.14

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.