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Finding the Third Proportional to 3,924 and 9,027

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Solution

The third proportional to 3,924 and 9,027 is: 20,766.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,924 : 9,027 = 9,027 : x
  2. Step 2: Convert to fraction form
    3,924/9,027 = 9,027/x
  3. Step 3: Cross multiply
    3,924x = 9,027 × 9,027
  4. Step 4: Simplify right side
    3,924x = 81,486,729
  5. Step 5: Solve for x
    x = 81,486,729/3,924
  6. Step 6: Final answer
    x = 20,766.24

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.