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Finding the Third Proportional to 40.59 and 94.73

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Solution

The third proportional to 40.59 and 94.73 is: 221.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.59 : 94.73 = 94.73 : x
  2. Step 2: Convert to fraction form
    40.59/94.73 = 94.73/x
  3. Step 3: Cross multiply
    40.59x = 94.73 × 94.73
  4. Step 4: Simplify right side
    40.59x = 8,974.60
  5. Step 5: Solve for x
    x = 8,974.60/40.59
  6. Step 6: Final answer
    x = 221.08

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.