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Finding the Third Proportional to 3,102 and 6,049

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Solution

The third proportional to 3,102 and 6,049 is: 11,795.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102 : 6,049 = 6,049 : x
  2. Step 2: Convert to fraction form
    3,102/6,049 = 6,049/x
  3. Step 3: Cross multiply
    3,102x = 6,049 × 6,049
  4. Step 4: Simplify right side
    3,102x = 36,590,401
  5. Step 5: Solve for x
    x = 36,590,401/3,102
  6. Step 6: Final answer
    x = 11,795.75

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.