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Finding the Third Proportional to 11,016 and 23,416

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Solution

The third proportional to 11,016 and 23,416 is: 49,773.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,016 : 23,416 = 23,416 : x
  2. Step 2: Convert to fraction form
    11,016/23,416 = 23,416/x
  3. Step 3: Cross multiply
    11,016x = 23,416 × 23,416
  4. Step 4: Simplify right side
    11,016x = 548,309,056
  5. Step 5: Solve for x
    x = 548,309,056/11,016
  6. Step 6: Final answer
    x = 49,773.88

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.