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Finding the Third Proportional to 27.44 and 63.38

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Solution

The third proportional to 27.44 and 63.38 is: 146.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27.44 : 63.38 = 63.38 : x
  2. Step 2: Convert to fraction form
    27.44/63.38 = 63.38/x
  3. Step 3: Cross multiply
    27.44x = 63.38 × 63.38
  4. Step 4: Simplify right side
    27.44x = 4,016.39
  5. Step 5: Solve for x
    x = 4,016.39/27.44
  6. Step 6: Final answer
    x = 146.38

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.