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Finding the Third Proportional to 33,406.50 and 68,175

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Solution

The third proportional to 33,406.50 and 68,175 is: 139,129.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,406.50 : 68,175 = 68,175 : x
  2. Step 2: Convert to fraction form
    33,406.50/68,175 = 68,175/x
  3. Step 3: Cross multiply
    33,406.50x = 68,175 × 68,175
  4. Step 4: Simplify right side
    33,406.50x = 4,647,830,625
  5. Step 5: Solve for x
    x = 4,647,830,625/33,406.50
  6. Step 6: Final answer
    x = 139,129.53

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.