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Finding the Third Proportional to 3,189.50 and 6,867.50

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Solution

The third proportional to 3,189.50 and 6,867.50 is: 14,786.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,189.50 : 6,867.50 = 6,867.50 : x
  2. Step 2: Convert to fraction form
    3,189.50/6,867.50 = 6,867.50/x
  3. Step 3: Cross multiply
    3,189.50x = 6,867.50 × 6,867.50
  4. Step 4: Simplify right side
    3,189.50x = 47,162,556.25
  5. Step 5: Solve for x
    x = 47,162,556.25/3,189.50
  6. Step 6: Final answer
    x = 14,786.82

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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.