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Finding the Third Proportional to 11,814 and 24,348

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Solution

The third proportional to 11,814 and 24,348 is: 50,179.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,814 : 24,348 = 24,348 : x
  2. Step 2: Convert to fraction form
    11,814/24,348 = 24,348/x
  3. Step 3: Cross multiply
    11,814x = 24,348 × 24,348
  4. Step 4: Simplify right side
    11,814x = 592,825,104
  5. Step 5: Solve for x
    x = 592,825,104/11,814
  6. Step 6: Final answer
    x = 50,179.88

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.