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Finding the Third Proportional to 6,493 and 13,911

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Solution

The third proportional to 6,493 and 13,911 is: 29,803.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,493 : 13,911 = 13,911 : x
  2. Step 2: Convert to fraction form
    6,493/13,911 = 13,911/x
  3. Step 3: Cross multiply
    6,493x = 13,911 × 13,911
  4. Step 4: Simplify right side
    6,493x = 193,515,921
  5. Step 5: Solve for x
    x = 193,515,921/6,493
  6. Step 6: Final answer
    x = 29,803.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.