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Finding the Third Proportional to 40.75 and 94.25

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Solution

The third proportional to 40.75 and 94.25 is: 217.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.75 : 94.25 = 94.25 : x
  2. Step 2: Convert to fraction form
    40.75/94.25 = 94.25/x
  3. Step 3: Cross multiply
    40.75x = 94.25 × 94.25
  4. Step 4: Simplify right side
    40.75x = 8,883.06
  5. Step 5: Solve for x
    x = 8,883.06/40.75
  6. Step 6: Final answer
    x = 217.99

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