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Finding the Third Proportional to 3,850.50 and 6,200.75

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Solution

The third proportional to 3,850.50 and 6,200.75 is: 9,985.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,850.50 : 6,200.75 = 6,200.75 : x
  2. Step 2: Convert to fraction form
    3,850.50/6,200.75 = 6,200.75/x
  3. Step 3: Cross multiply
    3,850.50x = 6,200.75 × 6,200.75
  4. Step 4: Simplify right side
    3,850.50x = 38,449,300.56
  5. Step 5: Solve for x
    x = 38,449,300.56/3,850.50
  6. Step 6: Final answer
    x = 9,985.53

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.