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Finding the Third Proportional to 20,443 and 31,756

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Solution

The third proportional to 20,443 and 31,756 is: 49,329.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,443 : 31,756 = 31,756 : x
  2. Step 2: Convert to fraction form
    20,443/31,756 = 31,756/x
  3. Step 3: Cross multiply
    20,443x = 31,756 × 31,756
  4. Step 4: Simplify right side
    20,443x = 1,008,443,536
  5. Step 5: Solve for x
    x = 1,008,443,536/20,443
  6. Step 6: Final answer
    x = 49,329.53

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Why These Related Problems?

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