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Finding the Third Proportional to 40.97 and 43.94

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Solution

The third proportional to 40.97 and 43.94 is: 47.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.97 : 43.94 = 43.94 : x
  2. Step 2: Convert to fraction form
    40.97/43.94 = 43.94/x
  3. Step 3: Cross multiply
    40.97x = 43.94 × 43.94
  4. Step 4: Simplify right side
    40.97x = 1,930.50
  5. Step 5: Solve for x
    x = 1,930.50/40.97
  6. Step 6: Final answer
    x = 47.12

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.