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Finding the Third Proportional to 33,104 and 51,132

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Solution

The third proportional to 33,104 and 51,132 is: 78,977.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,104 : 51,132 = 51,132 : x
  2. Step 2: Convert to fraction form
    33,104/51,132 = 51,132/x
  3. Step 3: Cross multiply
    33,104x = 51,132 × 51,132
  4. Step 4: Simplify right side
    33,104x = 2,614,481,424
  5. Step 5: Solve for x
    x = 2,614,481,424/33,104
  6. Step 6: Final answer
    x = 78,977.81

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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.