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Finding the Third Proportional to 6,825 and 10,212

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Solution

The third proportional to 6,825 and 10,212 is: 15,279.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,825 : 10,212 = 10,212 : x
  2. Step 2: Convert to fraction form
    6,825/10,212 = 10,212/x
  3. Step 3: Cross multiply
    6,825x = 10,212 × 10,212
  4. Step 4: Simplify right side
    6,825x = 104,284,944
  5. Step 5: Solve for x
    x = 104,284,944/6,825
  6. Step 6: Final answer
    x = 15,279.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.