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Finding the Third Proportional to 1.34 and 2.75

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Solution

The third proportional to 1.34 and 2.75 is: 5.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.34 : 2.75 = 2.75 : x
  2. Step 2: Convert to fraction form
    1.34/2.75 = 2.75/x
  3. Step 3: Cross multiply
    1.34x = 2.75 × 2.75
  4. Step 4: Simplify right side
    1.34x = 7.55
  5. Step 5: Solve for x
    x = 7.55/1.34
  6. Step 6: Final answer
    x = 5.64

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.