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Finding the Third Proportional to 1.25 and 2.70

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Solution

The third proportional to 1.25 and 2.70 is: 5.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.25 : 2.70 = 2.70 : x
  2. Step 2: Convert to fraction form
    1.25/2.70 = 2.70/x
  3. Step 3: Cross multiply
    1.25x = 2.70 × 2.70
  4. Step 4: Simplify right side
    1.25x = 7.26
  5. Step 5: Solve for x
    x = 7.26/1.25
  6. Step 6: Final answer
    x = 5.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.