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Finding the Third Proportional to 8,229.25 and 11,759.50

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Solution

The third proportional to 8,229.25 and 11,759.50 is: 16,804.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,229.25 : 11,759.50 = 11,759.50 : x
  2. Step 2: Convert to fraction form
    8,229.25/11,759.50 = 11,759.50/x
  3. Step 3: Cross multiply
    8,229.25x = 11,759.50 × 11,759.50
  4. Step 4: Simplify right side
    8,229.25x = 138,285,840.25
  5. Step 5: Solve for x
    x = 138,285,840.25/8,229.25
  6. Step 6: Final answer
    x = 16,804.19

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.