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Finding the Third Proportional to 6,538 and 11,468

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Solution

The third proportional to 6,538 and 11,468 is: 20,115.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,538 : 11,468 = 11,468 : x
  2. Step 2: Convert to fraction form
    6,538/11,468 = 11,468/x
  3. Step 3: Cross multiply
    6,538x = 11,468 × 11,468
  4. Step 4: Simplify right side
    6,538x = 131,515,024
  5. Step 5: Solve for x
    x = 131,515,024/6,538
  6. Step 6: Final answer
    x = 20,115.48

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.