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Finding the Third Proportional to 2.70 and 7.43

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Solution

The third proportional to 2.70 and 7.43 is: 20.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.70 : 7.43 = 7.43 : x
  2. Step 2: Convert to fraction form
    2.70/7.43 = 7.43/x
  3. Step 3: Cross multiply
    2.70x = 7.43 × 7.43
  4. Step 4: Simplify right side
    2.70x = 55.26
  5. Step 5: Solve for x
    x = 55.26/2.70
  6. Step 6: Final answer
    x = 20.44

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Why These Related Problems?

These problems maintain the same ratio (2.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.