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Finding the Third Proportional to 41.88 and 96.75

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Solution

The third proportional to 41.88 and 96.75 is: 223.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.88 : 96.75 = 96.75 : x
  2. Step 2: Convert to fraction form
    41.88/96.75 = 96.75/x
  3. Step 3: Cross multiply
    41.88x = 96.75 × 96.75
  4. Step 4: Simplify right side
    41.88x = 9,360.56
  5. Step 5: Solve for x
    x = 9,360.56/41.88
  6. Step 6: Final answer
    x = 223.54

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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.