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Finding the Third Proportional to 20,198 and 44,244

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Solution

The third proportional to 20,198 and 44,244 is: 96,917.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,198 : 44,244 = 44,244 : x
  2. Step 2: Convert to fraction form
    20,198/44,244 = 44,244/x
  3. Step 3: Cross multiply
    20,198x = 44,244 × 44,244
  4. Step 4: Simplify right side
    20,198x = 1,957,531,536
  5. Step 5: Solve for x
    x = 1,957,531,536/20,198
  6. Step 6: Final answer
    x = 96,917.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.