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Finding the Third Proportional to 20,223 and 43,734

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Solution

The third proportional to 20,223 and 43,734 is: 94,578.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,223 : 43,734 = 43,734 : x
  2. Step 2: Convert to fraction form
    20,223/43,734 = 43,734/x
  3. Step 3: Cross multiply
    20,223x = 43,734 × 43,734
  4. Step 4: Simplify right side
    20,223x = 1,912,662,756
  5. Step 5: Solve for x
    x = 1,912,662,756/20,223
  6. Step 6: Final answer
    x = 94,578.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.