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Finding the Third Proportional to 3,105.28 and 6,768.28

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Solution

The third proportional to 3,105.28 and 6,768.28 is: 14,752.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.28 : 6,768.28 = 6,768.28 : x
  2. Step 2: Convert to fraction form
    3,105.28/6,768.28 = 6,768.28/x
  3. Step 3: Cross multiply
    3,105.28x = 6,768.28 × 6,768.28
  4. Step 4: Simplify right side
    3,105.28x = 45,809,631.08
  5. Step 5: Solve for x
    x = 45,809,631.08/3,105.28
  6. Step 6: Final answer
    x = 14,752.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.