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Finding the Third Proportional to 6,019.31 and 14,273.72

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Solution

The third proportional to 6,019.31 and 14,273.72 is: 33,847.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,019.31 : 14,273.72 = 14,273.72 : x
  2. Step 2: Convert to fraction form
    6,019.31/14,273.72 = 14,273.72/x
  3. Step 3: Cross multiply
    6,019.31x = 14,273.72 × 14,273.72
  4. Step 4: Simplify right side
    6,019.31x = 203,739,046.95
  5. Step 5: Solve for x
    x = 203,739,046.95/6,019.31
  6. Step 6: Final answer
    x = 33,847.56

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These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.