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Finding the Third Proportional to 5,115 and 6,027

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Solution

The third proportional to 5,115 and 6,027 is: 7,101.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,115 : 6,027 = 6,027 : x
  2. Step 2: Convert to fraction form
    5,115/6,027 = 6,027/x
  3. Step 3: Cross multiply
    5,115x = 6,027 × 6,027
  4. Step 4: Simplify right side
    5,115x = 36,324,729
  5. Step 5: Solve for x
    x = 36,324,729/5,115
  6. Step 6: Final answer
    x = 7,101.61

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.