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Finding the Third Proportional to 5,351.46 and 7,606.33

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Solution

The third proportional to 5,351.46 and 7,606.33 is: 10,811.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,351.46 : 7,606.33 = 7,606.33 : x
  2. Step 2: Convert to fraction form
    5,351.46/7,606.33 = 7,606.33/x
  3. Step 3: Cross multiply
    5,351.46x = 7,606.33 × 7,606.33
  4. Step 4: Simplify right side
    5,351.46x = 57,856,212.69
  5. Step 5: Solve for x
    x = 57,856,212.69/5,351.46
  6. Step 6: Final answer
    x = 10,811.30

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.