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Finding the Third Proportional to 19.22 and 34.24

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Solution

The third proportional to 19.22 and 34.24 is: 60.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.22 : 34.24 = 34.24 : x
  2. Step 2: Convert to fraction form
    19.22/34.24 = 34.24/x
  3. Step 3: Cross multiply
    19.22x = 34.24 × 34.24
  4. Step 4: Simplify right side
    19.22x = 1,172.28
  5. Step 5: Solve for x
    x = 1,172.28/19.22
  6. Step 6: Final answer
    x = 60.99

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.