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Finding the Third Proportional to 33,135.75 and 51,193.69

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Solution

The third proportional to 33,135.75 and 51,193.69 is: 79,092.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,135.75 : 51,193.69 = 51,193.69 : x
  2. Step 2: Convert to fraction form
    33,135.75/51,193.69 = 51,193.69/x
  3. Step 3: Cross multiply
    33,135.75x = 51,193.69 × 51,193.69
  4. Step 4: Simplify right side
    33,135.75x = 2,620,793,639.85
  5. Step 5: Solve for x
    x = 2,620,793,639.85/33,135.75
  6. Step 6: Final answer
    x = 79,092.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.