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Finding the Third Proportional to 32,921.44 and 69,761.25

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Solution

The third proportional to 32,921.44 and 69,761.25 is: 147,825.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,921.44 : 69,761.25 = 69,761.25 : x
  2. Step 2: Convert to fraction form
    32,921.44/69,761.25 = 69,761.25/x
  3. Step 3: Cross multiply
    32,921.44x = 69,761.25 × 69,761.25
  4. Step 4: Simplify right side
    32,921.44x = 4,866,632,001.56
  5. Step 5: Solve for x
    x = 4,866,632,001.56/32,921.44
  6. Step 6: Final answer
    x = 147,825.62

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.