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Finding the Third Proportional to 33,999.75 and 51,029.25

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Solution

The third proportional to 33,999.75 and 51,029.25 is: 76,588.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,999.75 : 51,029.25 = 51,029.25 : x
  2. Step 2: Convert to fraction form
    33,999.75/51,029.25 = 51,029.25/x
  3. Step 3: Cross multiply
    33,999.75x = 51,029.25 × 51,029.25
  4. Step 4: Simplify right side
    33,999.75x = 2,603,984,355.56
  5. Step 5: Solve for x
    x = 2,603,984,355.56/33,999.75
  6. Step 6: Final answer
    x = 76,588.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.