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Finding the Third Proportional to 3.14 and 4.96

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Solution

The third proportional to 3.14 and 4.96 is: 7.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.14 : 4.96 = 4.96 : x
  2. Step 2: Convert to fraction form
    3.14/4.96 = 4.96/x
  3. Step 3: Cross multiply
    3.14x = 4.96 × 4.96
  4. Step 4: Simplify right side
    3.14x = 24.60
  5. Step 5: Solve for x
    x = 24.60/3.14
  6. Step 6: Final answer
    x = 7.83

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.