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Finding the Third Proportional to 4,192 and 7,757

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Solution

The third proportional to 4,192 and 7,757 is: 14,353.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,192 : 7,757 = 7,757 : x
  2. Step 2: Convert to fraction form
    4,192/7,757 = 7,757/x
  3. Step 3: Cross multiply
    4,192x = 7,757 × 7,757
  4. Step 4: Simplify right side
    4,192x = 60,171,049
  5. Step 5: Solve for x
    x = 60,171,049/4,192
  6. Step 6: Final answer
    x = 14,353.78

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.