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Finding the Third Proportional to 33,131.53 and 69,057.56

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Solution

The third proportional to 33,131.53 and 69,057.56 is: 143,939.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,131.53 : 69,057.56 = 69,057.56 : x
  2. Step 2: Convert to fraction form
    33,131.53/69,057.56 = 69,057.56/x
  3. Step 3: Cross multiply
    33,131.53x = 69,057.56 × 69,057.56
  4. Step 4: Simplify right side
    33,131.53x = 4,768,946,938.44
  5. Step 5: Solve for x
    x = 4,768,946,938.44/33,131.53
  6. Step 6: Final answer
    x = 143,939.83

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.