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Finding the Third Proportional to 33,481.69 and 45,472.41

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Solution

The third proportional to 33,481.69 and 45,472.41 is: 61,757.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,481.69 : 45,472.41 = 45,472.41 : x
  2. Step 2: Convert to fraction form
    33,481.69/45,472.41 = 45,472.41/x
  3. Step 3: Cross multiply
    33,481.69x = 45,472.41 × 45,472.41
  4. Step 4: Simplify right side
    33,481.69x = 2,067,739,730.17
  5. Step 5: Solve for x
    x = 2,067,739,730.17/33,481.69
  6. Step 6: Final answer
    x = 61,757.33

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.