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Finding the Third Proportional to 33,381 and 51,745.50

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Solution

The third proportional to 33,381 and 51,745.50 is: 80,213.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,381 : 51,745.50 = 51,745.50 : x
  2. Step 2: Convert to fraction form
    33,381/51,745.50 = 51,745.50/x
  3. Step 3: Cross multiply
    33,381x = 51,745.50 × 51,745.50
  4. Step 4: Simplify right side
    33,381x = 2,677,596,770.25
  5. Step 5: Solve for x
    x = 2,677,596,770.25/33,381
  6. Step 6: Final answer
    x = 80,213.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.