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Finding the Third Proportional to 11,909 and 24,363

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Solution

The third proportional to 11,909 and 24,363 is: 49,840.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,909 : 24,363 = 24,363 : x
  2. Step 2: Convert to fraction form
    11,909/24,363 = 24,363/x
  3. Step 3: Cross multiply
    11,909x = 24,363 × 24,363
  4. Step 4: Simplify right side
    11,909x = 593,555,769
  5. Step 5: Solve for x
    x = 593,555,769/11,909
  6. Step 6: Final answer
    x = 49,840.94

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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.