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Finding the Third Proportional to 38.25 and 95.63

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Solution

The third proportional to 38.25 and 95.63 is: 239.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.25 : 95.63 = 95.63 : x
  2. Step 2: Convert to fraction form
    38.25/95.63 = 95.63/x
  3. Step 3: Cross multiply
    38.25x = 95.63 × 95.63
  4. Step 4: Simplify right side
    38.25x = 9,144.14
  5. Step 5: Solve for x
    x = 9,144.14/38.25
  6. Step 6: Final answer
    x = 239.06

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Why These Related Problems?

These problems maintain the same ratio (2.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.