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Finding the Third Proportional to 20,463 and 31,794

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Solution

The third proportional to 20,463 and 31,794 is: 49,399.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,463 : 31,794 = 31,794 : x
  2. Step 2: Convert to fraction form
    20,463/31,794 = 31,794/x
  3. Step 3: Cross multiply
    20,463x = 31,794 × 31,794
  4. Step 4: Simplify right side
    20,463x = 1,010,858,436
  5. Step 5: Solve for x
    x = 1,010,858,436/20,463
  6. Step 6: Final answer
    x = 49,399.33

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.