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Finding the Third Proportional to 20,013 and 43,102

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Solution

The third proportional to 20,013 and 43,102 is: 92,828.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,013 : 43,102 = 43,102 : x
  2. Step 2: Convert to fraction form
    20,013/43,102 = 43,102/x
  3. Step 3: Cross multiply
    20,013x = 43,102 × 43,102
  4. Step 4: Simplify right side
    20,013x = 1,857,782,404
  5. Step 5: Solve for x
    x = 1,857,782,404/20,013
  6. Step 6: Final answer
    x = 92,828.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.