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Finding the Third Proportional to 11,147 and 24,214

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Solution

The third proportional to 11,147 and 24,214 is: 52,598.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,147 : 24,214 = 24,214 : x
  2. Step 2: Convert to fraction form
    11,147/24,214 = 24,214/x
  3. Step 3: Cross multiply
    11,147x = 24,214 × 24,214
  4. Step 4: Simplify right side
    11,147x = 586,317,796
  5. Step 5: Solve for x
    x = 586,317,796/11,147
  6. Step 6: Final answer
    x = 52,598.71

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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.