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Finding the Third Proportional to 32,786.25 and 70,350.75

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Solution

The third proportional to 32,786.25 and 70,350.75 is: 150,954.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,786.25 : 70,350.75 = 70,350.75 : x
  2. Step 2: Convert to fraction form
    32,786.25/70,350.75 = 70,350.75/x
  3. Step 3: Cross multiply
    32,786.25x = 70,350.75 × 70,350.75
  4. Step 4: Simplify right side
    32,786.25x = 4,949,228,025.56
  5. Step 5: Solve for x
    x = 4,949,228,025.56/32,786.25
  6. Step 6: Final answer
    x = 150,954.38

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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.