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Finding the Third Proportional to 33,049.50 and 47,363.25

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Solution

The third proportional to 33,049.50 and 47,363.25 is: 67,876.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,049.50 : 47,363.25 = 47,363.25 : x
  2. Step 2: Convert to fraction form
    33,049.50/47,363.25 = 47,363.25/x
  3. Step 3: Cross multiply
    33,049.50x = 47,363.25 × 47,363.25
  4. Step 4: Simplify right side
    33,049.50x = 2,243,277,450.56
  5. Step 5: Solve for x
    x = 2,243,277,450.56/33,049.50
  6. Step 6: Final answer
    x = 67,876.29

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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.