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Finding the Third Proportional to 5,189.85 and 7,611.79

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Solution

The third proportional to 5,189.85 and 7,611.79 is: 11,163.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,189.85 : 7,611.79 = 7,611.79 : x
  2. Step 2: Convert to fraction form
    5,189.85/7,611.79 = 7,611.79/x
  3. Step 3: Cross multiply
    5,189.85x = 7,611.79 × 7,611.79
  4. Step 4: Simplify right side
    5,189.85x = 57,939,273.26
  5. Step 5: Solve for x
    x = 57,939,273.26/5,189.85
  6. Step 6: Final answer
    x = 11,163.95

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.