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Finding the Third Proportional to 4,098 and 8,519

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Solution

The third proportional to 4,098 and 8,519 is: 17,709.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,098 : 8,519 = 8,519 : x
  2. Step 2: Convert to fraction form
    4,098/8,519 = 8,519/x
  3. Step 3: Cross multiply
    4,098x = 8,519 × 8,519
  4. Step 4: Simplify right side
    4,098x = 72,573,361
  5. Step 5: Solve for x
    x = 72,573,361/4,098
  6. Step 6: Final answer
    x = 17,709.46

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.