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Finding the Third Proportional to 3,282 and 5,796

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Solution

The third proportional to 3,282 and 5,796 is: 10,235.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,282 : 5,796 = 5,796 : x
  2. Step 2: Convert to fraction form
    3,282/5,796 = 5,796/x
  3. Step 3: Cross multiply
    3,282x = 5,796 × 5,796
  4. Step 4: Simplify right side
    3,282x = 33,593,616
  5. Step 5: Solve for x
    x = 33,593,616/3,282
  6. Step 6: Final answer
    x = 10,235.71

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.