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Finding the Third Proportional to 33,529.88 and 69,813.38

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Solution

The third proportional to 33,529.88 and 69,813.38 is: 145,360.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,529.88 : 69,813.38 = 69,813.38 : x
  2. Step 2: Convert to fraction form
    33,529.88/69,813.38 = 69,813.38/x
  3. Step 3: Cross multiply
    33,529.88x = 69,813.38 × 69,813.38
  4. Step 4: Simplify right side
    33,529.88x = 4,873,907,328.89
  5. Step 5: Solve for x
    x = 4,873,907,328.89/33,529.88
  6. Step 6: Final answer
    x = 145,360.14

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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.