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Finding the Third Proportional to 40.82 and 94.45

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Solution

The third proportional to 40.82 and 94.45 is: 218.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.82 : 94.45 = 94.45 : x
  2. Step 2: Convert to fraction form
    40.82/94.45 = 94.45/x
  3. Step 3: Cross multiply
    40.82x = 94.45 × 94.45
  4. Step 4: Simplify right side
    40.82x = 8,920.29
  5. Step 5: Solve for x
    x = 8,920.29/40.82
  6. Step 6: Final answer
    x = 218.55

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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.