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Finding the Third Proportional to 19.26 and 42.27

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Solution

The third proportional to 19.26 and 42.27 is: 92.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.26 : 42.27 = 42.27 : x
  2. Step 2: Convert to fraction form
    19.26/42.27 = 42.27/x
  3. Step 3: Cross multiply
    19.26x = 42.27 × 42.27
  4. Step 4: Simplify right side
    19.26x = 1,786.68
  5. Step 5: Solve for x
    x = 1,786.68/19.26
  6. Step 6: Final answer
    x = 92.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.