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Finding the Third Proportional to 43.16 and 94.41

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Solution

The third proportional to 43.16 and 94.41 is: 206.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.16 : 94.41 = 94.41 : x
  2. Step 2: Convert to fraction form
    43.16/94.41 = 94.41/x
  3. Step 3: Cross multiply
    43.16x = 94.41 × 94.41
  4. Step 4: Simplify right side
    43.16x = 8,912.54
  5. Step 5: Solve for x
    x = 8,912.54/43.16
  6. Step 6: Final answer
    x = 206.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.