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Finding the Third Proportional to 33,556.78 and 51,166.69

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Solution

The third proportional to 33,556.78 and 51,166.69 is: 78,017.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,556.78 : 51,166.69 = 51,166.69 : x
  2. Step 2: Convert to fraction form
    33,556.78/51,166.69 = 51,166.69/x
  3. Step 3: Cross multiply
    33,556.78x = 51,166.69 × 51,166.69
  4. Step 4: Simplify right side
    33,556.78x = 2,618,029,909.72
  5. Step 5: Solve for x
    x = 2,618,029,909.72/33,556.78
  6. Step 6: Final answer
    x = 78,017.91

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.