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Finding the Third Proportional to 7,849 and 17,288

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Solution

The third proportional to 7,849 and 17,288 is: 38,078.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,849 : 17,288 = 17,288 : x
  2. Step 2: Convert to fraction form
    7,849/17,288 = 17,288/x
  3. Step 3: Cross multiply
    7,849x = 17,288 × 17,288
  4. Step 4: Simplify right side
    7,849x = 298,874,944
  5. Step 5: Solve for x
    x = 298,874,944/7,849
  6. Step 6: Final answer
    x = 38,078.09

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.