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Finding the Third Proportional to 33,069 and 49,677

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Solution

The third proportional to 33,069 and 49,677 is: 74,625.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,069 : 49,677 = 49,677 : x
  2. Step 2: Convert to fraction form
    33,069/49,677 = 49,677/x
  3. Step 3: Cross multiply
    33,069x = 49,677 × 49,677
  4. Step 4: Simplify right side
    33,069x = 2,467,804,329
  5. Step 5: Solve for x
    x = 2,467,804,329/33,069
  6. Step 6: Final answer
    x = 74,625.91

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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.