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Finding the Third Proportional to 1.26 and 3.41

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Solution

The third proportional to 1.26 and 3.41 is: 9.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.26 : 3.41 = 3.41 : x
  2. Step 2: Convert to fraction form
    1.26/3.41 = 3.41/x
  3. Step 3: Cross multiply
    1.26x = 3.41 × 3.41
  4. Step 4: Simplify right side
    1.26x = 11.65
  5. Step 5: Solve for x
    x = 11.65/1.26
  6. Step 6: Final answer
    x = 9.21

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Why These Related Problems?

These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.