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Finding the Third Proportional to 33,278.72 and 72,388.31

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Solution

The third proportional to 33,278.72 and 72,388.31 is: 157,460.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,278.72 : 72,388.31 = 72,388.31 : x
  2. Step 2: Convert to fraction form
    33,278.72/72,388.31 = 72,388.31/x
  3. Step 3: Cross multiply
    33,278.72x = 72,388.31 × 72,388.31
  4. Step 4: Simplify right side
    33,278.72x = 5,240,067,786.60
  5. Step 5: Solve for x
    x = 5,240,067,786.60/33,278.72
  6. Step 6: Final answer
    x = 157,460.02

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.