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Finding the Third Proportional to 2.86 and 6.29

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Solution

The third proportional to 2.86 and 6.29 is: 13.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.86 : 6.29 = 6.29 : x
  2. Step 2: Convert to fraction form
    2.86/6.29 = 6.29/x
  3. Step 3: Cross multiply
    2.86x = 6.29 × 6.29
  4. Step 4: Simplify right side
    2.86x = 39.58
  5. Step 5: Solve for x
    x = 39.58/2.86
  6. Step 6: Final answer
    x = 13.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.