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Finding the Third Proportional to 2,098 and 4,144

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Solution

The third proportional to 2,098 and 4,144 is: 8,185.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098 : 4,144 = 4,144 : x
  2. Step 2: Convert to fraction form
    2,098/4,144 = 4,144/x
  3. Step 3: Cross multiply
    2,098x = 4,144 × 4,144
  4. Step 4: Simplify right side
    2,098x = 17,172,736
  5. Step 5: Solve for x
    x = 17,172,736/2,098
  6. Step 6: Final answer
    x = 8,185.29

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.