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Finding the Third Proportional to 3,829 and 8,269

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Solution

The third proportional to 3,829 and 8,269 is: 17,857.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829 : 8,269 = 8,269 : x
  2. Step 2: Convert to fraction form
    3,829/8,269 = 8,269/x
  3. Step 3: Cross multiply
    3,829x = 8,269 × 8,269
  4. Step 4: Simplify right side
    3,829x = 68,376,361
  5. Step 5: Solve for x
    x = 68,376,361/3,829
  6. Step 6: Final answer
    x = 17,857.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.