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Finding the Third Proportional to 20,443 and 30,766

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Solution

The third proportional to 20,443 and 30,766 is: 46,301.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,443 : 30,766 = 30,766 : x
  2. Step 2: Convert to fraction form
    20,443/30,766 = 30,766/x
  3. Step 3: Cross multiply
    20,443x = 30,766 × 30,766
  4. Step 4: Simplify right side
    20,443x = 946,546,756
  5. Step 5: Solve for x
    x = 946,546,756/20,443
  6. Step 6: Final answer
    x = 46,301.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.