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Finding the Third Proportional to 8,093.25 and 10,884.38

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Solution

The third proportional to 8,093.25 and 10,884.38 is: 14,638.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,093.25 : 10,884.38 = 10,884.38 : x
  2. Step 2: Convert to fraction form
    8,093.25/10,884.38 = 10,884.38/x
  3. Step 3: Cross multiply
    8,093.25x = 10,884.38 × 10,884.38
  4. Step 4: Simplify right side
    8,093.25x = 118,469,619.14
  5. Step 5: Solve for x
    x = 118,469,619.14/8,093.25
  6. Step 6: Final answer
    x = 14,638.08

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.