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Finding the Third Proportional to 11,265 and 24,183

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Solution

The third proportional to 11,265 and 24,183 is: 51,914.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,265 : 24,183 = 24,183 : x
  2. Step 2: Convert to fraction form
    11,265/24,183 = 24,183/x
  3. Step 3: Cross multiply
    11,265x = 24,183 × 24,183
  4. Step 4: Simplify right side
    11,265x = 584,817,489
  5. Step 5: Solve for x
    x = 584,817,489/11,265
  6. Step 6: Final answer
    x = 51,914.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.