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Finding the Third Proportional to 2.75 and 5.47

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Solution

The third proportional to 2.75 and 5.47 is: 10.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.75 : 5.47 = 5.47 : x
  2. Step 2: Convert to fraction form
    2.75/5.47 = 5.47/x
  3. Step 3: Cross multiply
    2.75x = 5.47 × 5.47
  4. Step 4: Simplify right side
    2.75x = 29.91
  5. Step 5: Solve for x
    x = 29.91/2.75
  6. Step 6: Final answer
    x = 10.88

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Why These Related Problems?

These problems maintain the same ratio (1.99) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.