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Finding the Third Proportional to 3.67 and 5.31

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Solution

The third proportional to 3.67 and 5.31 is: 7.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.67 : 5.31 = 5.31 : x
  2. Step 2: Convert to fraction form
    3.67/5.31 = 5.31/x
  3. Step 3: Cross multiply
    3.67x = 5.31 × 5.31
  4. Step 4: Simplify right side
    3.67x = 28.19
  5. Step 5: Solve for x
    x = 28.19/3.67
  6. Step 6: Final answer
    x = 7.68

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.