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Finding the Third Proportional to 6,539 and 10,493

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Solution

The third proportional to 6,539 and 10,493 is: 16,837.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,539 : 10,493 = 10,493 : x
  2. Step 2: Convert to fraction form
    6,539/10,493 = 10,493/x
  3. Step 3: Cross multiply
    6,539x = 10,493 × 10,493
  4. Step 4: Simplify right side
    6,539x = 110,103,049
  5. Step 5: Solve for x
    x = 110,103,049/6,539
  6. Step 6: Final answer
    x = 16,837.90

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.