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Finding the Third Proportional to 50,996.63 and 71,687.25

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Solution

The third proportional to 50,996.63 and 71,687.25 is: 100,772.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,996.63 : 71,687.25 = 71,687.25 : x
  2. Step 2: Convert to fraction form
    50,996.63/71,687.25 = 71,687.25/x
  3. Step 3: Cross multiply
    50,996.63x = 71,687.25 × 71,687.25
  4. Step 4: Simplify right side
    50,996.63x = 5,139,061,812.56
  5. Step 5: Solve for x
    x = 5,139,061,812.56/50,996.63
  6. Step 6: Final answer
    x = 100,772.59

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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.