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Finding the Third Proportional to 9,442 and 20,027

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Solution

The third proportional to 9,442 and 20,027 is: 42,478.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,442 : 20,027 = 20,027 : x
  2. Step 2: Convert to fraction form
    9,442/20,027 = 20,027/x
  3. Step 3: Cross multiply
    9,442x = 20,027 × 20,027
  4. Step 4: Simplify right side
    9,442x = 401,080,729
  5. Step 5: Solve for x
    x = 401,080,729/9,442
  6. Step 6: Final answer
    x = 42,478.37

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.