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Finding the Third Proportional to 6,622 and 10,249

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Solution

The third proportional to 6,622 and 10,249 is: 15,862.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,622 : 10,249 = 10,249 : x
  2. Step 2: Convert to fraction form
    6,622/10,249 = 10,249/x
  3. Step 3: Cross multiply
    6,622x = 10,249 × 10,249
  4. Step 4: Simplify right side
    6,622x = 105,042,001
  5. Step 5: Solve for x
    x = 105,042,001/6,622
  6. Step 6: Final answer
    x = 15,862.58

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.