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Finding the Third Proportional to 3.23 and 4.96

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Solution

The third proportional to 3.23 and 4.96 is: 7.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.23 : 4.96 = 4.96 : x
  2. Step 2: Convert to fraction form
    3.23/4.96 = 4.96/x
  3. Step 3: Cross multiply
    3.23x = 4.96 × 4.96
  4. Step 4: Simplify right side
    3.23x = 24.57
  5. Step 5: Solve for x
    x = 24.57/3.23
  6. Step 6: Final answer
    x = 7.60

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.