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Finding the Third Proportional to 3,691 and 8,006

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Solution

The third proportional to 3,691 and 8,006 is: 17,365.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691 : 8,006 = 8,006 : x
  2. Step 2: Convert to fraction form
    3,691/8,006 = 8,006/x
  3. Step 3: Cross multiply
    3,691x = 8,006 × 8,006
  4. Step 4: Simplify right side
    3,691x = 64,096,036
  5. Step 5: Solve for x
    x = 64,096,036/3,691
  6. Step 6: Final answer
    x = 17,365.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.