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Finding the Third Proportional to 40.82 and 90.12

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Solution

The third proportional to 40.82 and 90.12 is: 198.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.82 : 90.12 = 90.12 : x
  2. Step 2: Convert to fraction form
    40.82/90.12 = 90.12/x
  3. Step 3: Cross multiply
    40.82x = 90.12 × 90.12
  4. Step 4: Simplify right side
    40.82x = 8,122.16
  5. Step 5: Solve for x
    x = 8,122.16/40.82
  6. Step 6: Final answer
    x = 198.99

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.