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Finding the Third Proportional to 11,836.13 and 24,767.44

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Solution

The third proportional to 11,836.13 and 24,767.44 is: 51,826.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,836.13 : 24,767.44 = 24,767.44 : x
  2. Step 2: Convert to fraction form
    11,836.13/24,767.44 = 24,767.44/x
  3. Step 3: Cross multiply
    11,836.13x = 24,767.44 × 24,767.44
  4. Step 4: Simplify right side
    11,836.13x = 613,425,960.32
  5. Step 5: Solve for x
    x = 613,425,960.32/11,836.13
  6. Step 6: Final answer
    x = 51,826.59

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.