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Finding the Third Proportional to 3,836 and 7,917

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Solution

The third proportional to 3,836 and 7,917 is: 16,339.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,836 : 7,917 = 7,917 : x
  2. Step 2: Convert to fraction form
    3,836/7,917 = 7,917/x
  3. Step 3: Cross multiply
    3,836x = 7,917 × 7,917
  4. Step 4: Simplify right side
    3,836x = 62,678,889
  5. Step 5: Solve for x
    x = 62,678,889/3,836
  6. Step 6: Final answer
    x = 16,339.65

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.