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Finding the Third Proportional to 3,106 and 5,208

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Solution

The third proportional to 3,106 and 5,208 is: 8,732.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106 : 5,208 = 5,208 : x
  2. Step 2: Convert to fraction form
    3,106/5,208 = 5,208/x
  3. Step 3: Cross multiply
    3,106x = 5,208 × 5,208
  4. Step 4: Simplify right side
    3,106x = 27,123,264
  5. Step 5: Solve for x
    x = 27,123,264/3,106
  6. Step 6: Final answer
    x = 8,732.54

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.