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Finding the Third Proportional to 8,264 and 11,692

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Solution

The third proportional to 8,264 and 11,692 is: 16,541.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,264 : 11,692 = 11,692 : x
  2. Step 2: Convert to fraction form
    8,264/11,692 = 11,692/x
  3. Step 3: Cross multiply
    8,264x = 11,692 × 11,692
  4. Step 4: Simplify right side
    8,264x = 136,702,864
  5. Step 5: Solve for x
    x = 136,702,864/8,264
  6. Step 6: Final answer
    x = 16,541.97

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.