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Finding the Third Proportional to 2,867.91 and 3,912.05

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Solution

The third proportional to 2,867.91 and 3,912.05 is: 5,336.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,867.91 : 3,912.05 = 3,912.05 : x
  2. Step 2: Convert to fraction form
    2,867.91/3,912.05 = 3,912.05/x
  3. Step 3: Cross multiply
    2,867.91x = 3,912.05 × 3,912.05
  4. Step 4: Simplify right side
    2,867.91x = 15,304,110.75
  5. Step 5: Solve for x
    x = 15,304,110.75/2,867.91
  6. Step 6: Final answer
    x = 5,336.34

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.