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Finding the Third Proportional to 32,928.75 and 72,129.25

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Solution

The third proportional to 32,928.75 and 72,129.25 is: 157,996.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,928.75 : 72,129.25 = 72,129.25 : x
  2. Step 2: Convert to fraction form
    32,928.75/72,129.25 = 72,129.25/x
  3. Step 3: Cross multiply
    32,928.75x = 72,129.25 × 72,129.25
  4. Step 4: Simplify right side
    32,928.75x = 5,202,628,705.56
  5. Step 5: Solve for x
    x = 5,202,628,705.56/32,928.75
  6. Step 6: Final answer
    x = 157,996.54

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.