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Finding the Third Proportional to 2,006 and 5,225

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Solution

The third proportional to 2,006 and 5,225 is: 13,609.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006 : 5,225 = 5,225 : x
  2. Step 2: Convert to fraction form
    2,006/5,225 = 5,225/x
  3. Step 3: Cross multiply
    2,006x = 5,225 × 5,225
  4. Step 4: Simplify right side
    2,006x = 27,300,625
  5. Step 5: Solve for x
    x = 27,300,625/2,006
  6. Step 6: Final answer
    x = 13,609.48

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.