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Finding the Third Proportional to 20,194.75 and 41,369.25

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Solution

The third proportional to 20,194.75 and 41,369.25 is: 84,745.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,194.75 : 41,369.25 = 41,369.25 : x
  2. Step 2: Convert to fraction form
    20,194.75/41,369.25 = 41,369.25/x
  3. Step 3: Cross multiply
    20,194.75x = 41,369.25 × 41,369.25
  4. Step 4: Simplify right side
    20,194.75x = 1,711,414,845.56
  5. Step 5: Solve for x
    x = 1,711,414,845.56/20,194.75
  6. Step 6: Final answer
    x = 84,745.53

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.