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Finding the Third Proportional to 4,186 and 6,027

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Solution

The third proportional to 4,186 and 6,027 is: 8,677.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,186 : 6,027 = 6,027 : x
  2. Step 2: Convert to fraction form
    4,186/6,027 = 6,027/x
  3. Step 3: Cross multiply
    4,186x = 6,027 × 6,027
  4. Step 4: Simplify right side
    4,186x = 36,324,729
  5. Step 5: Solve for x
    x = 36,324,729/4,186
  6. Step 6: Final answer
    x = 8,677.67

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.