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Finding the Third Proportional to 11,105 and 23,793

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Solution

The third proportional to 11,105 and 23,793 is: 50,977.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,105 : 23,793 = 23,793 : x
  2. Step 2: Convert to fraction form
    11,105/23,793 = 23,793/x
  3. Step 3: Cross multiply
    11,105x = 23,793 × 23,793
  4. Step 4: Simplify right side
    11,105x = 566,106,849
  5. Step 5: Solve for x
    x = 566,106,849/11,105
  6. Step 6: Final answer
    x = 50,977.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.