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Finding the Third Proportional to 2,205 and 5,204

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Solution

The third proportional to 2,205 and 5,204 is: 12,281.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205 : 5,204 = 5,204 : x
  2. Step 2: Convert to fraction form
    2,205/5,204 = 5,204/x
  3. Step 3: Cross multiply
    2,205x = 5,204 × 5,204
  4. Step 4: Simplify right side
    2,205x = 27,081,616
  5. Step 5: Solve for x
    x = 27,081,616/2,205
  6. Step 6: Final answer
    x = 12,281.91

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.