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Finding the Third Proportional to 20,469 and 30,027

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Solution

The third proportional to 20,469 and 30,027 is: 44,048.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,469 : 30,027 = 30,027 : x
  2. Step 2: Convert to fraction form
    20,469/30,027 = 30,027/x
  3. Step 3: Cross multiply
    20,469x = 30,027 × 30,027
  4. Step 4: Simplify right side
    20,469x = 901,620,729
  5. Step 5: Solve for x
    x = 901,620,729/20,469
  6. Step 6: Final answer
    x = 44,048.11

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.