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Finding the Third Proportional to 22,198 and 47,690

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Solution

The third proportional to 22,198 and 47,690 is: 102,456.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,198 : 47,690 = 47,690 : x
  2. Step 2: Convert to fraction form
    22,198/47,690 = 47,690/x
  3. Step 3: Cross multiply
    22,198x = 47,690 × 47,690
  4. Step 4: Simplify right side
    22,198x = 2,274,336,100
  5. Step 5: Solve for x
    x = 2,274,336,100/22,198
  6. Step 6: Final answer
    x = 102,456.80

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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.