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Finding the Third Proportional to 3.11 and 5.78

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Solution

The third proportional to 3.11 and 5.78 is: 10.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.11 : 5.78 = 5.78 : x
  2. Step 2: Convert to fraction form
    3.11/5.78 = 5.78/x
  3. Step 3: Cross multiply
    3.11x = 5.78 × 5.78
  4. Step 4: Simplify right side
    3.11x = 33.40
  5. Step 5: Solve for x
    x = 33.40/3.11
  6. Step 6: Final answer
    x = 10.72

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.