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Finding the Third Proportional to 2.86 and 6.14

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Solution

The third proportional to 2.86 and 6.14 is: 13.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.86 : 6.14 = 6.14 : x
  2. Step 2: Convert to fraction form
    2.86/6.14 = 6.14/x
  3. Step 3: Cross multiply
    2.86x = 6.14 × 6.14
  4. Step 4: Simplify right side
    2.86x = 37.71
  5. Step 5: Solve for x
    x = 37.71/2.86
  6. Step 6: Final answer
    x = 13.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.