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Finding the Third Proportional to 2,906 and 6,204

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Solution

The third proportional to 2,906 and 6,204 is: 13,244.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,906 : 6,204 = 6,204 : x
  2. Step 2: Convert to fraction form
    2,906/6,204 = 6,204/x
  3. Step 3: Cross multiply
    2,906x = 6,204 × 6,204
  4. Step 4: Simplify right side
    2,906x = 38,489,616
  5. Step 5: Solve for x
    x = 38,489,616/2,906
  6. Step 6: Final answer
    x = 13,244.88

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.