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Finding the Third Proportional to 11,826 and 18,584.44

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Solution

The third proportional to 11,826 and 18,584.44 is: 29,205.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,826 : 18,584.44 = 18,584.44 : x
  2. Step 2: Convert to fraction form
    11,826/18,584.44 = 18,584.44/x
  3. Step 3: Cross multiply
    11,826x = 18,584.44 × 18,584.44
  4. Step 4: Simplify right side
    11,826x = 345,381,317.19
  5. Step 5: Solve for x
    x = 345,381,317.19/11,826
  6. Step 6: Final answer
    x = 29,205.25

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.