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Finding the Third Proportional to 31,961.25 and 70,908.75

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Solution

The third proportional to 31,961.25 and 70,908.75 is: 157,317.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,961.25 : 70,908.75 = 70,908.75 : x
  2. Step 2: Convert to fraction form
    31,961.25/70,908.75 = 70,908.75/x
  3. Step 3: Cross multiply
    31,961.25x = 70,908.75 × 70,908.75
  4. Step 4: Simplify right side
    31,961.25x = 5,028,050,826.56
  5. Step 5: Solve for x
    x = 5,028,050,826.56/31,961.25
  6. Step 6: Final answer
    x = 157,317.09

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.