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Finding the Third Proportional to 5,168.94 and 7,383.25

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Solution

The third proportional to 5,168.94 and 7,383.25 is: 10,546.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,168.94 : 7,383.25 = 7,383.25 : x
  2. Step 2: Convert to fraction form
    5,168.94/7,383.25 = 7,383.25/x
  3. Step 3: Cross multiply
    5,168.94x = 7,383.25 × 7,383.25
  4. Step 4: Simplify right side
    5,168.94x = 54,512,380.56
  5. Step 5: Solve for x
    x = 54,512,380.56/5,168.94
  6. Step 6: Final answer
    x = 10,546.15

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