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Finding the Third Proportional to 41.81 and 56.81

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Solution

The third proportional to 41.81 and 56.81 is: 77.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.81 : 56.81 = 56.81 : x
  2. Step 2: Convert to fraction form
    41.81/56.81 = 56.81/x
  3. Step 3: Cross multiply
    41.81x = 56.81 × 56.81
  4. Step 4: Simplify right side
    41.81x = 3,227.66
  5. Step 5: Solve for x
    x = 3,227.66/41.81
  6. Step 6: Final answer
    x = 77.19

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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.