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Finding the Third Proportional to 11,691 and 13,509

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Solution

The third proportional to 11,691 and 13,509 is: 15,609.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,691 : 13,509 = 13,509 : x
  2. Step 2: Convert to fraction form
    11,691/13,509 = 13,509/x
  3. Step 3: Cross multiply
    11,691x = 13,509 × 13,509
  4. Step 4: Simplify right side
    11,691x = 182,493,081
  5. Step 5: Solve for x
    x = 182,493,081/11,691
  6. Step 6: Final answer
    x = 15,609.71

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.