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Finding the Third Proportional to 33,027.75 and 47,329.31

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Solution

The third proportional to 33,027.75 and 47,329.31 is: 67,823.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,027.75 : 47,329.31 = 47,329.31 : x
  2. Step 2: Convert to fraction form
    33,027.75/47,329.31 = 47,329.31/x
  3. Step 3: Cross multiply
    33,027.75x = 47,329.31 × 47,329.31
  4. Step 4: Simplify right side
    33,027.75x = 2,240,063,821.72
  5. Step 5: Solve for x
    x = 2,240,063,821.72/33,027.75
  6. Step 6: Final answer
    x = 67,823.69

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.