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Finding the Third Proportional to 6,519 and 13,757

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Solution

The third proportional to 6,519 and 13,757 is: 29,031.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,519 : 13,757 = 13,757 : x
  2. Step 2: Convert to fraction form
    6,519/13,757 = 13,757/x
  3. Step 3: Cross multiply
    6,519x = 13,757 × 13,757
  4. Step 4: Simplify right side
    6,519x = 189,255,049
  5. Step 5: Solve for x
    x = 189,255,049/6,519
  6. Step 6: Final answer
    x = 29,031.30

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.