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Finding the Third Proportional to 18.42 and 40.22

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Solution

The third proportional to 18.42 and 40.22 is: 87.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.42 : 40.22 = 40.22 : x
  2. Step 2: Convert to fraction form
    18.42/40.22 = 40.22/x
  3. Step 3: Cross multiply
    18.42x = 40.22 × 40.22
  4. Step 4: Simplify right side
    18.42x = 1,617.55
  5. Step 5: Solve for x
    x = 1,617.55/18.42
  6. Step 6: Final answer
    x = 87.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.