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Finding the Third Proportional to 38 and 97.75

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Solution

The third proportional to 38 and 97.75 is: 251.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    38 : 97.75 = 97.75 : x
  2. Step 2: Convert to fraction form
    38/97.75 = 97.75/x
  3. Step 3: Cross multiply
    38x = 97.75 × 97.75
  4. Step 4: Simplify right side
    38x = 9,555.06
  5. Step 5: Solve for x
    x = 9,555.06/38
  6. Step 6: Final answer
    x = 251.45

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Why These Related Problems?

These problems maintain the same ratio (2.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.