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Finding the Third Proportional to 20,504 and 30,027

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Solution

The third proportional to 20,504 and 30,027 is: 43,972.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,504 : 30,027 = 30,027 : x
  2. Step 2: Convert to fraction form
    20,504/30,027 = 30,027/x
  3. Step 3: Cross multiply
    20,504x = 30,027 × 30,027
  4. Step 4: Simplify right side
    20,504x = 901,620,729
  5. Step 5: Solve for x
    x = 901,620,729/20,504
  6. Step 6: Final answer
    x = 43,972.92

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.