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Finding the Third Proportional to 43.82 and 93.97

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Solution

The third proportional to 43.82 and 93.97 is: 201.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.82 : 93.97 = 93.97 : x
  2. Step 2: Convert to fraction form
    43.82/93.97 = 93.97/x
  3. Step 3: Cross multiply
    43.82x = 93.97 × 93.97
  4. Step 4: Simplify right side
    43.82x = 8,830.86
  5. Step 5: Solve for x
    x = 8,830.86/43.82
  6. Step 6: Final answer
    x = 201.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.