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Finding the Third Proportional to 2.85 and 3.19

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Solution

The third proportional to 2.85 and 3.19 is: 3.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.85 : 3.19 = 3.19 : x
  2. Step 2: Convert to fraction form
    2.85/3.19 = 3.19/x
  3. Step 3: Cross multiply
    2.85x = 3.19 × 3.19
  4. Step 4: Simplify right side
    2.85x = 10.15
  5. Step 5: Solve for x
    x = 10.15/2.85
  6. Step 6: Final answer
    x = 3.56

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.