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Finding the Third Proportional to 6,825 and 13,911

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Solution

The third proportional to 6,825 and 13,911 is: 28,353.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,825 : 13,911 = 13,911 : x
  2. Step 2: Convert to fraction form
    6,825/13,911 = 13,911/x
  3. Step 3: Cross multiply
    6,825x = 13,911 × 13,911
  4. Step 4: Simplify right side
    6,825x = 193,515,921
  5. Step 5: Solve for x
    x = 193,515,921/6,825
  6. Step 6: Final answer
    x = 28,353.98

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.