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Finding the Third Proportional to 3,800 and 10,247

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Solution

The third proportional to 3,800 and 10,247 is: 27,631.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800 : 10,247 = 10,247 : x
  2. Step 2: Convert to fraction form
    3,800/10,247 = 10,247/x
  3. Step 3: Cross multiply
    3,800x = 10,247 × 10,247
  4. Step 4: Simplify right side
    3,800x = 105,001,009
  5. Step 5: Solve for x
    x = 105,001,009/3,800
  6. Step 6: Final answer
    x = 27,631.84

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Why These Related Problems?

These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.