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Finding the Third Proportional to 33,375 and 51,659.25

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Solution

The third proportional to 33,375 and 51,659.25 is: 79,960.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,375 : 51,659.25 = 51,659.25 : x
  2. Step 2: Convert to fraction form
    33,375/51,659.25 = 51,659.25/x
  3. Step 3: Cross multiply
    33,375x = 51,659.25 × 51,659.25
  4. Step 4: Simplify right side
    33,375x = 2,668,678,110.56
  5. Step 5: Solve for x
    x = 2,668,678,110.56/33,375
  6. Step 6: Final answer
    x = 79,960.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.