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Finding the Third Proportional to 31,979.25 and 50,055.75

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Solution

The third proportional to 31,979.25 and 50,055.75 is: 78,350.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,979.25 : 50,055.75 = 50,055.75 : x
  2. Step 2: Convert to fraction form
    31,979.25/50,055.75 = 50,055.75/x
  3. Step 3: Cross multiply
    31,979.25x = 50,055.75 × 50,055.75
  4. Step 4: Simplify right side
    31,979.25x = 2,505,578,108.06
  5. Step 5: Solve for x
    x = 2,505,578,108.06/31,979.25
  6. Step 6: Final answer
    x = 78,350.12

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.