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Finding the Third Proportional to 40.92 and 96.56

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Solution

The third proportional to 40.92 and 96.56 is: 227.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.92 : 96.56 = 96.56 : x
  2. Step 2: Convert to fraction form
    40.92/96.56 = 96.56/x
  3. Step 3: Cross multiply
    40.92x = 96.56 × 96.56
  4. Step 4: Simplify right side
    40.92x = 9,324.32
  5. Step 5: Solve for x
    x = 9,324.32/40.92
  6. Step 6: Final answer
    x = 227.86

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.