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Finding the Third Proportional to 8,190 and 9,027

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Solution

The third proportional to 8,190 and 9,027 is: 9,949.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,190 : 9,027 = 9,027 : x
  2. Step 2: Convert to fraction form
    8,190/9,027 = 9,027/x
  3. Step 3: Cross multiply
    8,190x = 9,027 × 9,027
  4. Step 4: Simplify right side
    8,190x = 81,486,729
  5. Step 5: Solve for x
    x = 81,486,729/8,190
  6. Step 6: Final answer
    x = 9,949.54

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.