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Finding the Third Proportional to 20.06 and 42.94

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Solution

The third proportional to 20.06 and 42.94 is: 91.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.06 : 42.94 = 42.94 : x
  2. Step 2: Convert to fraction form
    20.06/42.94 = 42.94/x
  3. Step 3: Cross multiply
    20.06x = 42.94 × 42.94
  4. Step 4: Simplify right side
    20.06x = 1,843.63
  5. Step 5: Solve for x
    x = 1,843.63/20.06
  6. Step 6: Final answer
    x = 91.89

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