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Finding the Third Proportional to 3,186.50 and 6,861.25

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Solution

The third proportional to 3,186.50 and 6,861.25 is: 14,773.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.50 : 6,861.25 = 6,861.25 : x
  2. Step 2: Convert to fraction form
    3,186.50/6,861.25 = 6,861.25/x
  3. Step 3: Cross multiply
    3,186.50x = 6,861.25 × 6,861.25
  4. Step 4: Simplify right side
    3,186.50x = 47,076,751.56
  5. Step 5: Solve for x
    x = 47,076,751.56/3,186.50
  6. Step 6: Final answer
    x = 14,773.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.