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Finding the Third Proportional to 11,204 and 24,414

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Solution

The third proportional to 11,204 and 24,414 is: 53,199.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,204 : 24,414 = 24,414 : x
  2. Step 2: Convert to fraction form
    11,204/24,414 = 24,414/x
  3. Step 3: Cross multiply
    11,204x = 24,414 × 24,414
  4. Step 4: Simplify right side
    11,204x = 596,043,396
  5. Step 5: Solve for x
    x = 596,043,396/11,204
  6. Step 6: Final answer
    x = 53,199.16

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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.