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Finding the Third Proportional to 11,123 and 24,187

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Solution

The third proportional to 11,123 and 24,187 is: 52,594.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,123 : 24,187 = 24,187 : x
  2. Step 2: Convert to fraction form
    11,123/24,187 = 24,187/x
  3. Step 3: Cross multiply
    11,123x = 24,187 × 24,187
  4. Step 4: Simplify right side
    11,123x = 585,010,969
  5. Step 5: Solve for x
    x = 585,010,969/11,123
  6. Step 6: Final answer
    x = 52,594.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.