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Finding the Third Proportional to 5,134.50 and 8,161.75

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Solution

The third proportional to 5,134.50 and 8,161.75 is: 12,973.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,134.50 : 8,161.75 = 8,161.75 : x
  2. Step 2: Convert to fraction form
    5,134.50/8,161.75 = 8,161.75/x
  3. Step 3: Cross multiply
    5,134.50x = 8,161.75 × 8,161.75
  4. Step 4: Simplify right side
    5,134.50x = 66,614,163.06
  5. Step 5: Solve for x
    x = 66,614,163.06/5,134.50
  6. Step 6: Final answer
    x = 12,973.84

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.