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Finding the Third Proportional to 14.44 and 36.97

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Solution

The third proportional to 14.44 and 36.97 is: 94.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.44 : 36.97 = 36.97 : x
  2. Step 2: Convert to fraction form
    14.44/36.97 = 36.97/x
  3. Step 3: Cross multiply
    14.44x = 36.97 × 36.97
  4. Step 4: Simplify right side
    14.44x = 1,366.69
  5. Step 5: Solve for x
    x = 1,366.69/14.44
  6. Step 6: Final answer
    x = 94.66

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Why These Related Problems?

These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.