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Finding the Third Proportional to 7,471.94 and 11,193.44

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Solution

The third proportional to 7,471.94 and 11,193.44 is: 16,768.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,471.94 : 11,193.44 = 11,193.44 : x
  2. Step 2: Convert to fraction form
    7,471.94/11,193.44 = 11,193.44/x
  3. Step 3: Cross multiply
    7,471.94x = 11,193.44 × 11,193.44
  4. Step 4: Simplify right side
    7,471.94x = 125,293,043.07
  5. Step 5: Solve for x
    x = 125,293,043.07/7,471.94
  6. Step 6: Final answer
    x = 16,768.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.