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Finding the Third Proportional to 3,866.50 and 6,965

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Solution

The third proportional to 3,866.50 and 6,965 is: 12,546.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.50 : 6,965 = 6,965 : x
  2. Step 2: Convert to fraction form
    3,866.50/6,965 = 6,965/x
  3. Step 3: Cross multiply
    3,866.50x = 6,965 × 6,965
  4. Step 4: Simplify right side
    3,866.50x = 48,511,225
  5. Step 5: Solve for x
    x = 48,511,225/3,866.50
  6. Step 6: Final answer
    x = 12,546.55

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.