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Finding the Third Proportional to 2.11 and 4.96

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Solution

The third proportional to 2.11 and 4.96 is: 11.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.11 : 4.96 = 4.96 : x
  2. Step 2: Convert to fraction form
    2.11/4.96 = 4.96/x
  3. Step 3: Cross multiply
    2.11x = 4.96 × 4.96
  4. Step 4: Simplify right side
    2.11x = 24.57
  5. Step 5: Solve for x
    x = 24.57/2.11
  6. Step 6: Final answer
    x = 11.65

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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.