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Finding the Third Proportional to 2.55 and 2.97

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Solution

The third proportional to 2.55 and 2.97 is: 3.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.55 : 2.97 = 2.97 : x
  2. Step 2: Convert to fraction form
    2.55/2.97 = 2.97/x
  3. Step 3: Cross multiply
    2.55x = 2.97 × 2.97
  4. Step 4: Simplify right side
    2.55x = 8.80
  5. Step 5: Solve for x
    x = 8.80/2.55
  6. Step 6: Final answer
    x = 3.44

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.