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Finding the Third Proportional to 20,791.69 and 31,956.19

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Solution

The third proportional to 20,791.69 and 31,956.19 is: 49,115.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,791.69 : 31,956.19 = 31,956.19 : x
  2. Step 2: Convert to fraction form
    20,791.69/31,956.19 = 31,956.19/x
  3. Step 3: Cross multiply
    20,791.69x = 31,956.19 × 31,956.19
  4. Step 4: Simplify right side
    20,791.69x = 1,021,197,919.54
  5. Step 5: Solve for x
    x = 1,021,197,919.54/20,791.69
  6. Step 6: Final answer
    x = 49,115.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.