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Finding the Third Proportional to 2,684 and 6,098

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Solution

The third proportional to 2,684 and 6,098 is: 13,854.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684 : 6,098 = 6,098 : x
  2. Step 2: Convert to fraction form
    2,684/6,098 = 6,098/x
  3. Step 3: Cross multiply
    2,684x = 6,098 × 6,098
  4. Step 4: Simplify right side
    2,684x = 37,185,604
  5. Step 5: Solve for x
    x = 37,185,604/2,684
  6. Step 6: Final answer
    x = 13,854.55

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.