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Finding the Third Proportional to 40.64 and 94.85

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Solution

The third proportional to 40.64 and 94.85 is: 221.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.64 : 94.85 = 94.85 : x
  2. Step 2: Convert to fraction form
    40.64/94.85 = 94.85/x
  3. Step 3: Cross multiply
    40.64x = 94.85 × 94.85
  4. Step 4: Simplify right side
    40.64x = 8,996.82
  5. Step 5: Solve for x
    x = 8,996.82/40.64
  6. Step 6: Final answer
    x = 221.38

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Why These Related Problems?

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