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Finding the Third Proportional to 5.96 and 13.10

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Solution

The third proportional to 5.96 and 13.10 is: 28.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.96 : 13.10 = 13.10 : x
  2. Step 2: Convert to fraction form
    5.96/13.10 = 13.10/x
  3. Step 3: Cross multiply
    5.96x = 13.10 × 13.10
  4. Step 4: Simplify right side
    5.96x = 171.56
  5. Step 5: Solve for x
    x = 171.56/5.96
  6. Step 6: Final answer
    x = 28.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.