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Finding the Third Proportional to 41.85 and 98.93

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Solution

The third proportional to 41.85 and 98.93 is: 233.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.85 : 98.93 = 98.93 : x
  2. Step 2: Convert to fraction form
    41.85/98.93 = 98.93/x
  3. Step 3: Cross multiply
    41.85x = 98.93 × 98.93
  4. Step 4: Simplify right side
    41.85x = 9,786.18
  5. Step 5: Solve for x
    x = 9,786.18/41.85
  6. Step 6: Final answer
    x = 233.82

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.