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Finding the Third Proportional to 19.22 and 42.23

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Solution

The third proportional to 19.22 and 42.23 is: 92.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.22 : 42.23 = 42.23 : x
  2. Step 2: Convert to fraction form
    19.22/42.23 = 42.23/x
  3. Step 3: Cross multiply
    19.22x = 42.23 × 42.23
  4. Step 4: Simplify right side
    19.22x = 1,783.74
  5. Step 5: Solve for x
    x = 1,783.74/19.22
  6. Step 6: Final answer
    x = 92.81

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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.