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Finding the Third Proportional to 11,087 and 24,119

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Solution

The third proportional to 11,087 and 24,119 is: 52,469.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,087 : 24,119 = 24,119 : x
  2. Step 2: Convert to fraction form
    11,087/24,119 = 24,119/x
  3. Step 3: Cross multiply
    11,087x = 24,119 × 24,119
  4. Step 4: Simplify right side
    11,087x = 581,726,161
  5. Step 5: Solve for x
    x = 581,726,161/11,087
  6. Step 6: Final answer
    x = 52,469.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.