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Finding the Third Proportional to 11,819 and 24,247

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Solution

The third proportional to 11,819 and 24,247 is: 49,743.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,819 : 24,247 = 24,247 : x
  2. Step 2: Convert to fraction form
    11,819/24,247 = 24,247/x
  3. Step 3: Cross multiply
    11,819x = 24,247 × 24,247
  4. Step 4: Simplify right side
    11,819x = 587,917,009
  5. Step 5: Solve for x
    x = 587,917,009/11,819
  6. Step 6: Final answer
    x = 49,743.38

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.