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Finding the Third Proportional to 40.94 and 110.84

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Solution

The third proportional to 40.94 and 110.84 is: 300.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.94 : 110.84 = 110.84 : x
  2. Step 2: Convert to fraction form
    40.94/110.84 = 110.84/x
  3. Step 3: Cross multiply
    40.94x = 110.84 × 110.84
  4. Step 4: Simplify right side
    40.94x = 12,286.34
  5. Step 5: Solve for x
    x = 12,286.34/40.94
  6. Step 6: Final answer
    x = 300.12

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Why These Related Problems?

These problems maintain the same ratio (2.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.