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Finding the Third Proportional to 3,689 and 8,002

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Solution

The third proportional to 3,689 and 8,002 is: 17,357.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,689 : 8,002 = 8,002 : x
  2. Step 2: Convert to fraction form
    3,689/8,002 = 8,002/x
  3. Step 3: Cross multiply
    3,689x = 8,002 × 8,002
  4. Step 4: Simplify right side
    3,689x = 64,032,004
  5. Step 5: Solve for x
    x = 64,032,004/3,689
  6. Step 6: Final answer
    x = 17,357.55

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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.