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Finding the Third Proportional to 7,682 and 16,098

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Solution

The third proportional to 7,682 and 16,098 is: 33,734.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,682 : 16,098 = 16,098 : x
  2. Step 2: Convert to fraction form
    7,682/16,098 = 16,098/x
  3. Step 3: Cross multiply
    7,682x = 16,098 × 16,098
  4. Step 4: Simplify right side
    7,682x = 259,145,604
  5. Step 5: Solve for x
    x = 259,145,604/7,682
  6. Step 6: Final answer
    x = 33,734.13

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.