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Finding the Third Proportional to 19.94 and 31.81

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Solution

The third proportional to 19.94 and 31.81 is: 50.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.94 : 31.81 = 31.81 : x
  2. Step 2: Convert to fraction form
    19.94/31.81 = 31.81/x
  3. Step 3: Cross multiply
    19.94x = 31.81 × 31.81
  4. Step 4: Simplify right side
    19.94x = 1,012.04
  5. Step 5: Solve for x
    x = 1,012.04/19.94
  6. Step 6: Final answer
    x = 50.76

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.