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Finding the Third Proportional to 3,138 and 5,098

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Solution

The third proportional to 3,138 and 5,098 is: 8,282.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138 : 5,098 = 5,098 : x
  2. Step 2: Convert to fraction form
    3,138/5,098 = 5,098/x
  3. Step 3: Cross multiply
    3,138x = 5,098 × 5,098
  4. Step 4: Simplify right side
    3,138x = 25,989,604
  5. Step 5: Solve for x
    x = 25,989,604/3,138
  6. Step 6: Final answer
    x = 8,282.22

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.