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Finding the Third Proportional to 33,014.25 and 68,764.50

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Solution

The third proportional to 33,014.25 and 68,764.50 is: 143,227.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,014.25 : 68,764.50 = 68,764.50 : x
  2. Step 2: Convert to fraction form
    33,014.25/68,764.50 = 68,764.50/x
  3. Step 3: Cross multiply
    33,014.25x = 68,764.50 × 68,764.50
  4. Step 4: Simplify right side
    33,014.25x = 4,728,556,460.25
  5. Step 5: Solve for x
    x = 4,728,556,460.25/33,014.25
  6. Step 6: Final answer
    x = 143,227.74

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.