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Finding the Third Proportional to 33,581 and 51,425

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Solution

The third proportional to 33,581 and 51,425 is: 78,750.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,581 : 51,425 = 51,425 : x
  2. Step 2: Convert to fraction form
    33,581/51,425 = 51,425/x
  3. Step 3: Cross multiply
    33,581x = 51,425 × 51,425
  4. Step 4: Simplify right side
    33,581x = 2,644,530,625
  5. Step 5: Solve for x
    x = 2,644,530,625/33,581
  6. Step 6: Final answer
    x = 78,750.80

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.