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Finding the Third Proportional to 6,467 and 11,531

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Solution

The third proportional to 6,467 and 11,531 is: 20,560.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,467 : 11,531 = 11,531 : x
  2. Step 2: Convert to fraction form
    6,467/11,531 = 11,531/x
  3. Step 3: Cross multiply
    6,467x = 11,531 × 11,531
  4. Step 4: Simplify right side
    6,467x = 132,963,961
  5. Step 5: Solve for x
    x = 132,963,961/6,467
  6. Step 6: Final answer
    x = 20,560.38

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.