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Finding the Third Proportional to 4,353.75 and 5,493.38

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Solution

The third proportional to 4,353.75 and 5,493.38 is: 6,931.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,353.75 : 5,493.38 = 5,493.38 : x
  2. Step 2: Convert to fraction form
    4,353.75/5,493.38 = 5,493.38/x
  3. Step 3: Cross multiply
    4,353.75x = 5,493.38 × 5,493.38
  4. Step 4: Simplify right side
    4,353.75x = 30,177,168.89
  5. Step 5: Solve for x
    x = 30,177,168.89/4,353.75
  6. Step 6: Final answer
    x = 6,931.30

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These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.