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Finding the Third Proportional to 50,682.38 and 73,006.31

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Solution

The third proportional to 50,682.38 and 73,006.31 is: 105,163.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,682.38 : 73,006.31 = 73,006.31 : x
  2. Step 2: Convert to fraction form
    50,682.38/73,006.31 = 73,006.31/x
  3. Step 3: Cross multiply
    50,682.38x = 73,006.31 × 73,006.31
  4. Step 4: Simplify right side
    50,682.38x = 5,329,921,664.85
  5. Step 5: Solve for x
    x = 5,329,921,664.85/50,682.38
  6. Step 6: Final answer
    x = 105,163.22

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.