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Finding the Third Proportional to 19.24 and 44.26

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Solution

The third proportional to 19.24 and 44.26 is: 101.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.24 : 44.26 = 44.26 : x
  2. Step 2: Convert to fraction form
    19.24/44.26 = 44.26/x
  3. Step 3: Cross multiply
    19.24x = 44.26 × 44.26
  4. Step 4: Simplify right side
    19.24x = 1,958.93
  5. Step 5: Solve for x
    x = 1,958.93/19.24
  6. Step 6: Final answer
    x = 101.80

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.