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Finding the Third Proportional to 40,771.13 and 57,414.56

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Solution

The third proportional to 40,771.13 and 57,414.56 is: 80,852.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,771.13 : 57,414.56 = 57,414.56 : x
  2. Step 2: Convert to fraction form
    40,771.13/57,414.56 = 57,414.56/x
  3. Step 3: Cross multiply
    40,771.13x = 57,414.56 × 57,414.56
  4. Step 4: Simplify right side
    40,771.13x = 3,296,431,987.07
  5. Step 5: Solve for x
    x = 3,296,431,987.07/40,771.13
  6. Step 6: Final answer
    x = 80,852.12

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.