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Finding the Third Proportional to 18.52 and 28.22

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Solution

The third proportional to 18.52 and 28.22 is: 43.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.52 : 28.22 = 28.22 : x
  2. Step 2: Convert to fraction form
    18.52/28.22 = 28.22/x
  3. Step 3: Cross multiply
    18.52x = 28.22 × 28.22
  4. Step 4: Simplify right side
    18.52x = 796.30
  5. Step 5: Solve for x
    x = 796.30/18.52
  6. Step 6: Final answer
    x = 43.01

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.