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Finding the Third Proportional to 11,005 and 24,196

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Solution

The third proportional to 11,005 and 24,196 is: 53,198.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,005 : 24,196 = 24,196 : x
  2. Step 2: Convert to fraction form
    11,005/24,196 = 24,196/x
  3. Step 3: Cross multiply
    11,005x = 24,196 × 24,196
  4. Step 4: Simplify right side
    11,005x = 585,446,416
  5. Step 5: Solve for x
    x = 585,446,416/11,005
  6. Step 6: Final answer
    x = 53,198.22

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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.