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Finding the Third Proportional to 13,991.48 and 30,238.31

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Solution

The third proportional to 13,991.48 and 30,238.31 is: 65,350.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,991.48 : 30,238.31 = 30,238.31 : x
  2. Step 2: Convert to fraction form
    13,991.48/30,238.31 = 30,238.31/x
  3. Step 3: Cross multiply
    13,991.48x = 30,238.31 × 30,238.31
  4. Step 4: Simplify right side
    13,991.48x = 914,355,542.85
  5. Step 5: Solve for x
    x = 914,355,542.85/13,991.48
  6. Step 6: Final answer
    x = 65,350.86

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.