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Finding the Third Proportional to 31,464.75 and 41,273.75

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Solution

The third proportional to 31,464.75 and 41,273.75 is: 54,140.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,464.75 : 41,273.75 = 41,273.75 : x
  2. Step 2: Convert to fraction form
    31,464.75/41,273.75 = 41,273.75/x
  3. Step 3: Cross multiply
    31,464.75x = 41,273.75 × 41,273.75
  4. Step 4: Simplify right side
    31,464.75x = 1,703,522,439.06
  5. Step 5: Solve for x
    x = 1,703,522,439.06/31,464.75
  6. Step 6: Final answer
    x = 54,140.66

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.