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Finding the Third Proportional to 19.62 and 42.22

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Solution

The third proportional to 19.62 and 42.22 is: 90.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.62 : 42.22 = 42.22 : x
  2. Step 2: Convert to fraction form
    19.62/42.22 = 42.22/x
  3. Step 3: Cross multiply
    19.62x = 42.22 × 42.22
  4. Step 4: Simplify right side
    19.62x = 1,782.75
  5. Step 5: Solve for x
    x = 1,782.75/19.62
  6. Step 6: Final answer
    x = 90.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.