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Finding the Third Proportional to 30,727.50 and 66,375

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Solution

The third proportional to 30,727.50 and 66,375 is: 143,377.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,727.50 : 66,375 = 66,375 : x
  2. Step 2: Convert to fraction form
    30,727.50/66,375 = 66,375/x
  3. Step 3: Cross multiply
    30,727.50x = 66,375 × 66,375
  4. Step 4: Simplify right side
    30,727.50x = 4,405,640,625
  5. Step 5: Solve for x
    x = 4,405,640,625/30,727.50
  6. Step 6: Final answer
    x = 143,377.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.