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Finding the Third Proportional to 8,231 and 13,256

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Solution

The third proportional to 8,231 and 13,256 is: 21,348.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,231 : 13,256 = 13,256 : x
  2. Step 2: Convert to fraction form
    8,231/13,256 = 13,256/x
  3. Step 3: Cross multiply
    8,231x = 13,256 × 13,256
  4. Step 4: Simplify right side
    8,231x = 175,721,536
  5. Step 5: Solve for x
    x = 175,721,536/8,231
  6. Step 6: Final answer
    x = 21,348.75

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.