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Finding the Third Proportional to 9,791.86 and 20,102.20

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Solution

The third proportional to 9,791.86 and 20,102.20 is: 41,268.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,791.86 : 20,102.20 = 20,102.20 : x
  2. Step 2: Convert to fraction form
    9,791.86/20,102.20 = 20,102.20/x
  3. Step 3: Cross multiply
    9,791.86x = 20,102.20 × 20,102.20
  4. Step 4: Simplify right side
    9,791.86x = 404,098,570.48
  5. Step 5: Solve for x
    x = 404,098,570.48/9,791.86
  6. Step 6: Final answer
    x = 41,268.83

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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.