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Finding the Third Proportional to 43.66 and 93.87

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Solution

The third proportional to 43.66 and 93.87 is: 201.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.66 : 93.87 = 93.87 : x
  2. Step 2: Convert to fraction form
    43.66/93.87 = 93.87/x
  3. Step 3: Cross multiply
    43.66x = 93.87 × 93.87
  4. Step 4: Simplify right side
    43.66x = 8,811.05
  5. Step 5: Solve for x
    x = 8,811.05/43.66
  6. Step 6: Final answer
    x = 201.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.