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Finding the Third Proportional to 2.96 and 3.49

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Solution

The third proportional to 2.96 and 3.49 is: 4.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.96 : 3.49 = 3.49 : x
  2. Step 2: Convert to fraction form
    2.96/3.49 = 3.49/x
  3. Step 3: Cross multiply
    2.96x = 3.49 × 3.49
  4. Step 4: Simplify right side
    2.96x = 12.21
  5. Step 5: Solve for x
    x = 12.21/2.96
  6. Step 6: Final answer
    x = 4.12

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.