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Finding the Third Proportional to 3,682 and 8,530

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Solution

The third proportional to 3,682 and 8,530 is: 19,761.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682 : 8,530 = 8,530 : x
  2. Step 2: Convert to fraction form
    3,682/8,530 = 8,530/x
  3. Step 3: Cross multiply
    3,682x = 8,530 × 8,530
  4. Step 4: Simplify right side
    3,682x = 72,760,900
  5. Step 5: Solve for x
    x = 72,760,900/3,682
  6. Step 6: Final answer
    x = 19,761.24

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.