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Finding the Third Proportional to 17.83 and 38.94

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Solution

The third proportional to 17.83 and 38.94 is: 85.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.83 : 38.94 = 38.94 : x
  2. Step 2: Convert to fraction form
    17.83/38.94 = 38.94/x
  3. Step 3: Cross multiply
    17.83x = 38.94 × 38.94
  4. Step 4: Simplify right side
    17.83x = 1,516.60
  5. Step 5: Solve for x
    x = 1,516.60/17.83
  6. Step 6: Final answer
    x = 85.06

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.