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Finding the Third Proportional to 8,011 and 12,757

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Solution

The third proportional to 8,011 and 12,757 is: 20,314.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,011 : 12,757 = 12,757 : x
  2. Step 2: Convert to fraction form
    8,011/12,757 = 12,757/x
  3. Step 3: Cross multiply
    8,011x = 12,757 × 12,757
  4. Step 4: Simplify right side
    8,011x = 162,741,049
  5. Step 5: Solve for x
    x = 162,741,049/8,011
  6. Step 6: Final answer
    x = 20,314.70

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.