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Finding the Third Proportional to 33,427.69 and 44,241.19

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Solution

The third proportional to 33,427.69 and 44,241.19 is: 58,552.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,427.69 : 44,241.19 = 44,241.19 : x
  2. Step 2: Convert to fraction form
    33,427.69/44,241.19 = 44,241.19/x
  3. Step 3: Cross multiply
    33,427.69x = 44,241.19 × 44,241.19
  4. Step 4: Simplify right side
    33,427.69x = 1,957,282,671.41
  5. Step 5: Solve for x
    x = 1,957,282,671.41/33,427.69
  6. Step 6: Final answer
    x = 58,552.74

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.