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Finding the Third Proportional to 3,864 and 5,145

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Solution

The third proportional to 3,864 and 5,145 is: 6,850.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,864 : 5,145 = 5,145 : x
  2. Step 2: Convert to fraction form
    3,864/5,145 = 5,145/x
  3. Step 3: Cross multiply
    3,864x = 5,145 × 5,145
  4. Step 4: Simplify right side
    3,864x = 26,471,025
  5. Step 5: Solve for x
    x = 26,471,025/3,864
  6. Step 6: Final answer
    x = 6,850.68

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.