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Finding the Third Proportional to 2.86 and 6.27

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Solution

The third proportional to 2.86 and 6.27 is: 13.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.86 : 6.27 = 6.27 : x
  2. Step 2: Convert to fraction form
    2.86/6.27 = 6.27/x
  3. Step 3: Cross multiply
    2.86x = 6.27 × 6.27
  4. Step 4: Simplify right side
    2.86x = 39.28
  5. Step 5: Solve for x
    x = 39.28/2.86
  6. Step 6: Final answer
    x = 13.72

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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.