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Finding the Third Proportional to 40,380.75 and 86,933.25

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Solution

The third proportional to 40,380.75 and 86,933.25 is: 187,153.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,380.75 : 86,933.25 = 86,933.25 : x
  2. Step 2: Convert to fraction form
    40,380.75/86,933.25 = 86,933.25/x
  3. Step 3: Cross multiply
    40,380.75x = 86,933.25 × 86,933.25
  4. Step 4: Simplify right side
    40,380.75x = 7,557,389,955.56
  5. Step 5: Solve for x
    x = 7,557,389,955.56/40,380.75
  6. Step 6: Final answer
    x = 187,153.28

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.