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Finding the Third Proportional to 6,780 and 9,204

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Solution

The third proportional to 6,780 and 9,204 is: 12,494.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,780 : 9,204 = 9,204 : x
  2. Step 2: Convert to fraction form
    6,780/9,204 = 9,204/x
  3. Step 3: Cross multiply
    6,780x = 9,204 × 9,204
  4. Step 4: Simplify right side
    6,780x = 84,713,616
  5. Step 5: Solve for x
    x = 84,713,616/6,780
  6. Step 6: Final answer
    x = 12,494.63

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.