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Finding the Third Proportional to 41.75 and 91.25

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Solution

The third proportional to 41.75 and 91.25 is: 199.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.75 : 91.25 = 91.25 : x
  2. Step 2: Convert to fraction form
    41.75/91.25 = 91.25/x
  3. Step 3: Cross multiply
    41.75x = 91.25 × 91.25
  4. Step 4: Simplify right side
    41.75x = 8,326.56
  5. Step 5: Solve for x
    x = 8,326.56/41.75
  6. Step 6: Final answer
    x = 199.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.