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Finding the Third Proportional to 2,694 and 4,163

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Solution

The third proportional to 2,694 and 4,163 is: 6,433.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,694 : 4,163 = 4,163 : x
  2. Step 2: Convert to fraction form
    2,694/4,163 = 4,163/x
  3. Step 3: Cross multiply
    2,694x = 4,163 × 4,163
  4. Step 4: Simplify right side
    2,694x = 17,330,569
  5. Step 5: Solve for x
    x = 17,330,569/2,694
  6. Step 6: Final answer
    x = 6,433.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.