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Finding the Third Proportional to 33,014.25 and 49,678.31

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Solution

The third proportional to 33,014.25 and 49,678.31 is: 74,753.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,014.25 : 49,678.31 = 49,678.31 : x
  2. Step 2: Convert to fraction form
    33,014.25/49,678.31 = 49,678.31/x
  3. Step 3: Cross multiply
    33,014.25x = 49,678.31 × 49,678.31
  4. Step 4: Simplify right side
    33,014.25x = 2,467,934,732.85
  5. Step 5: Solve for x
    x = 2,467,934,732.85/33,014.25
  6. Step 6: Final answer
    x = 74,753.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.