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Finding the Third Proportional to 33,309 and 49,861.13

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Solution

The third proportional to 33,309 and 49,861.13 is: 74,638.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,309 : 49,861.13 = 49,861.13 : x
  2. Step 2: Convert to fraction form
    33,309/49,861.13 = 49,861.13/x
  3. Step 3: Cross multiply
    33,309x = 49,861.13 × 49,861.13
  4. Step 4: Simplify right side
    33,309x = 2,486,131,786.27
  5. Step 5: Solve for x
    x = 2,486,131,786.27/33,309
  6. Step 6: Final answer
    x = 74,638.44

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Why These Related Problems?

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