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Finding the Third Proportional to 3,186 and 6,214.50

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Solution

The third proportional to 3,186 and 6,214.50 is: 12,121.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186 : 6,214.50 = 6,214.50 : x
  2. Step 2: Convert to fraction form
    3,186/6,214.50 = 6,214.50/x
  3. Step 3: Cross multiply
    3,186x = 6,214.50 × 6,214.50
  4. Step 4: Simplify right side
    3,186x = 38,620,010.25
  5. Step 5: Solve for x
    x = 38,620,010.25/3,186
  6. Step 6: Final answer
    x = 12,121.79

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.