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Finding the Third Proportional to 20,096.25 and 43,651.25

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Solution

The third proportional to 20,096.25 and 43,651.25 is: 94,815.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,096.25 : 43,651.25 = 43,651.25 : x
  2. Step 2: Convert to fraction form
    20,096.25/43,651.25 = 43,651.25/x
  3. Step 3: Cross multiply
    20,096.25x = 43,651.25 × 43,651.25
  4. Step 4: Simplify right side
    20,096.25x = 1,905,431,626.56
  5. Step 5: Solve for x
    x = 1,905,431,626.56/20,096.25
  6. Step 6: Final answer
    x = 94,815.28

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.