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Finding the Third Proportional to 27,163.50 and 57,276.75

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Solution

The third proportional to 27,163.50 and 57,276.75 is: 120,773.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,163.50 : 57,276.75 = 57,276.75 : x
  2. Step 2: Convert to fraction form
    27,163.50/57,276.75 = 57,276.75/x
  3. Step 3: Cross multiply
    27,163.50x = 57,276.75 × 57,276.75
  4. Step 4: Simplify right side
    27,163.50x = 3,280,626,090.56
  5. Step 5: Solve for x
    x = 3,280,626,090.56/27,163.50
  6. Step 6: Final answer
    x = 120,773.32

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.