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Finding the Third Proportional to 2,812 and 6,163

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Solution

The third proportional to 2,812 and 6,163 is: 13,507.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,812 : 6,163 = 6,163 : x
  2. Step 2: Convert to fraction form
    2,812/6,163 = 6,163/x
  3. Step 3: Cross multiply
    2,812x = 6,163 × 6,163
  4. Step 4: Simplify right side
    2,812x = 37,982,569
  5. Step 5: Solve for x
    x = 37,982,569/2,812
  6. Step 6: Final answer
    x = 13,507.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.