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Finding the Third Proportional to 33,797.25 and 51,424.88

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Solution

The third proportional to 33,797.25 and 51,424.88 is: 78,246.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,797.25 : 51,424.88 = 51,424.88 : x
  2. Step 2: Convert to fraction form
    33,797.25/51,424.88 = 51,424.88/x
  3. Step 3: Cross multiply
    33,797.25x = 51,424.88 × 51,424.88
  4. Step 4: Simplify right side
    33,797.25x = 2,644,517,768.77
  5. Step 5: Solve for x
    x = 2,644,517,768.77/33,797.25
  6. Step 6: Final answer
    x = 78,246.54

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Why These Related Problems?

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