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Finding the Third Proportional to 40.82 and 51.10

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Solution

The third proportional to 40.82 and 51.10 is: 63.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.82 : 51.10 = 51.10 : x
  2. Step 2: Convert to fraction form
    40.82/51.10 = 51.10/x
  3. Step 3: Cross multiply
    40.82x = 51.10 × 51.10
  4. Step 4: Simplify right side
    40.82x = 2,611.17
  5. Step 5: Solve for x
    x = 2,611.17/40.82
  6. Step 6: Final answer
    x = 63.97

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These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.