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Finding the Third Proportional to 42.42 and 93.37

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Solution

The third proportional to 42.42 and 93.37 is: 205.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.42 : 93.37 = 93.37 : x
  2. Step 2: Convert to fraction form
    42.42/93.37 = 93.37/x
  3. Step 3: Cross multiply
    42.42x = 93.37 × 93.37
  4. Step 4: Simplify right side
    42.42x = 8,717.25
  5. Step 5: Solve for x
    x = 8,717.25/42.42
  6. Step 6: Final answer
    x = 205.48

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.