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Finding the Third Proportional to 4.67 and 10.96

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Solution

The third proportional to 4.67 and 10.96 is: 25.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.67 : 10.96 = 10.96 : x
  2. Step 2: Convert to fraction form
    4.67/10.96 = 10.96/x
  3. Step 3: Cross multiply
    4.67x = 10.96 × 10.96
  4. Step 4: Simplify right side
    4.67x = 120.12
  5. Step 5: Solve for x
    x = 120.12/4.67
  6. Step 6: Final answer
    x = 25.73

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.