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Finding the Third Proportional to 7,204 and 10,806

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Solution

The third proportional to 7,204 and 10,806 is: 16,209

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,204 : 10,806 = 10,806 : x
  2. Step 2: Convert to fraction form
    7,204/10,806 = 10,806/x
  3. Step 3: Cross multiply
    7,204x = 10,806 × 10,806
  4. Step 4: Simplify right side
    7,204x = 116,769,636
  5. Step 5: Solve for x
    x = 116,769,636/7,204
  6. Step 6: Final answer
    x = 16,209

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.