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Finding the Third Proportional to 5.96 and 10.62

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Solution

The third proportional to 5.96 and 10.62 is: 18.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.96 : 10.62 = 10.62 : x
  2. Step 2: Convert to fraction form
    5.96/10.62 = 10.62/x
  3. Step 3: Cross multiply
    5.96x = 10.62 × 10.62
  4. Step 4: Simplify right side
    5.96x = 112.78
  5. Step 5: Solve for x
    x = 112.78/5.96
  6. Step 6: Final answer
    x = 18.92

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.