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Finding the Third Proportional to 31,286.25 and 63,659.25

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Solution

The third proportional to 31,286.25 and 63,659.25 is: 129,529.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,286.25 : 63,659.25 = 63,659.25 : x
  2. Step 2: Convert to fraction form
    31,286.25/63,659.25 = 63,659.25/x
  3. Step 3: Cross multiply
    31,286.25x = 63,659.25 × 63,659.25
  4. Step 4: Simplify right side
    31,286.25x = 4,052,500,110.56
  5. Step 5: Solve for x
    x = 4,052,500,110.56/31,286.25
  6. Step 6: Final answer
    x = 129,529.75

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.