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Finding the Third Proportional to 3,214 and 6,084

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Solution

The third proportional to 3,214 and 6,084 is: 11,516.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214 : 6,084 = 6,084 : x
  2. Step 2: Convert to fraction form
    3,214/6,084 = 6,084/x
  3. Step 3: Cross multiply
    3,214x = 6,084 × 6,084
  4. Step 4: Simplify right side
    3,214x = 37,015,056
  5. Step 5: Solve for x
    x = 37,015,056/3,214
  6. Step 6: Final answer
    x = 11,516.82

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.