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Finding the Third Proportional to 40.20 and 96.22

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Solution

The third proportional to 40.20 and 96.22 is: 230.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.20 : 96.22 = 96.22 : x
  2. Step 2: Convert to fraction form
    40.20/96.22 = 96.22/x
  3. Step 3: Cross multiply
    40.20x = 96.22 × 96.22
  4. Step 4: Simplify right side
    40.20x = 9,259.05
  5. Step 5: Solve for x
    x = 9,259.05/40.20
  6. Step 6: Final answer
    x = 230.31

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.