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Finding the Third Proportional to 33,632.72 and 69,452.44

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Solution

The third proportional to 33,632.72 and 69,452.44 is: 143,421.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,632.72 : 69,452.44 = 69,452.44 : x
  2. Step 2: Convert to fraction form
    33,632.72/69,452.44 = 69,452.44/x
  3. Step 3: Cross multiply
    33,632.72x = 69,452.44 × 69,452.44
  4. Step 4: Simplify right side
    33,632.72x = 4,823,641,074.69
  5. Step 5: Solve for x
    x = 4,823,641,074.69/33,632.72
  6. Step 6: Final answer
    x = 143,421.09

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.