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Finding the Third Proportional to 33,380.25 and 51,542.25

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Solution

The third proportional to 33,380.25 and 51,542.25 is: 79,586.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,380.25 : 51,542.25 = 51,542.25 : x
  2. Step 2: Convert to fraction form
    33,380.25/51,542.25 = 51,542.25/x
  3. Step 3: Cross multiply
    33,380.25x = 51,542.25 × 51,542.25
  4. Step 4: Simplify right side
    33,380.25x = 2,656,603,535.06
  5. Step 5: Solve for x
    x = 2,656,603,535.06/33,380.25
  6. Step 6: Final answer
    x = 79,586.09

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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.