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Finding the Third Proportional to 32,786.25 and 70,349.25

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Solution

The third proportional to 32,786.25 and 70,349.25 is: 150,947.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,786.25 : 70,349.25 = 70,349.25 : x
  2. Step 2: Convert to fraction form
    32,786.25/70,349.25 = 70,349.25/x
  3. Step 3: Cross multiply
    32,786.25x = 70,349.25 × 70,349.25
  4. Step 4: Simplify right side
    32,786.25x = 4,949,016,975.56
  5. Step 5: Solve for x
    x = 4,949,016,975.56/32,786.25
  6. Step 6: Final answer
    x = 150,947.94

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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.