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Finding the Third Proportional to 40,996.13 and 43,912.13

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Solution

The third proportional to 40,996.13 and 43,912.13 is: 47,035.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,996.13 : 43,912.13 = 43,912.13 : x
  2. Step 2: Convert to fraction form
    40,996.13/43,912.13 = 43,912.13/x
  3. Step 3: Cross multiply
    40,996.13x = 43,912.13 × 43,912.13
  4. Step 4: Simplify right side
    40,996.13x = 1,928,274,722.02
  5. Step 5: Solve for x
    x = 1,928,274,722.02/40,996.13
  6. Step 6: Final answer
    x = 47,035.54

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