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Finding the Third Proportional to 33,563.50 and 47,049

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Solution

The third proportional to 33,563.50 and 47,049 is: 65,952.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,563.50 : 47,049 = 47,049 : x
  2. Step 2: Convert to fraction form
    33,563.50/47,049 = 47,049/x
  3. Step 3: Cross multiply
    33,563.50x = 47,049 × 47,049
  4. Step 4: Simplify right side
    33,563.50x = 2,213,608,401
  5. Step 5: Solve for x
    x = 2,213,608,401/33,563.50
  6. Step 6: Final answer
    x = 65,952.85

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.