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Finding the Third Proportional to 6,538 and 13,832

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Solution

The third proportional to 6,538 and 13,832 is: 29,263.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,538 : 13,832 = 13,832 : x
  2. Step 2: Convert to fraction form
    6,538/13,832 = 13,832/x
  3. Step 3: Cross multiply
    6,538x = 13,832 × 13,832
  4. Step 4: Simplify right side
    6,538x = 191,324,224
  5. Step 5: Solve for x
    x = 191,324,224/6,538
  6. Step 6: Final answer
    x = 29,263.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.