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Finding the Third Proportional to 10.44 and 27.97

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Solution

The third proportional to 10.44 and 27.97 is: 74.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.44 : 27.97 = 27.97 : x
  2. Step 2: Convert to fraction form
    10.44/27.97 = 27.97/x
  3. Step 3: Cross multiply
    10.44x = 27.97 × 27.97
  4. Step 4: Simplify right side
    10.44x = 782.25
  5. Step 5: Solve for x
    x = 782.25/10.44
  6. Step 6: Final answer
    x = 74.95

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Why These Related Problems?

These problems maintain the same ratio (2.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.