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Finding the Third Proportional to 33,427.69 and 68,040

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Solution

The third proportional to 33,427.69 and 68,040 is: 138,491.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,427.69 : 68,040 = 68,040 : x
  2. Step 2: Convert to fraction form
    33,427.69/68,040 = 68,040/x
  3. Step 3: Cross multiply
    33,427.69x = 68,040 × 68,040
  4. Step 4: Simplify right side
    33,427.69x = 4,629,441,600
  5. Step 5: Solve for x
    x = 4,629,441,600/33,427.69
  6. Step 6: Final answer
    x = 138,491.23

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.