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Finding the Third Proportional to 3,833 and 8,239

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Solution

The third proportional to 3,833 and 8,239 is: 17,709.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833 : 8,239 = 8,239 : x
  2. Step 2: Convert to fraction form
    3,833/8,239 = 8,239/x
  3. Step 3: Cross multiply
    3,833x = 8,239 × 8,239
  4. Step 4: Simplify right side
    3,833x = 67,881,121
  5. Step 5: Solve for x
    x = 67,881,121/3,833
  6. Step 6: Final answer
    x = 17,709.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.