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Finding the Third Proportional to 40.79 and 55.41

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Solution

The third proportional to 40.79 and 55.41 is: 75.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.79 : 55.41 = 55.41 : x
  2. Step 2: Convert to fraction form
    40.79/55.41 = 55.41/x
  3. Step 3: Cross multiply
    40.79x = 55.41 × 55.41
  4. Step 4: Simplify right side
    40.79x = 3,069.85
  5. Step 5: Solve for x
    x = 3,069.85/40.79
  6. Step 6: Final answer
    x = 75.25

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.