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Finding the Third Proportional to 32,240.25 and 49,286.25

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Solution

The third proportional to 32,240.25 and 49,286.25 is: 75,344.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,240.25 : 49,286.25 = 49,286.25 : x
  2. Step 2: Convert to fraction form
    32,240.25/49,286.25 = 49,286.25/x
  3. Step 3: Cross multiply
    32,240.25x = 49,286.25 × 49,286.25
  4. Step 4: Simplify right side
    32,240.25x = 2,429,134,439.06
  5. Step 5: Solve for x
    x = 2,429,134,439.06/32,240.25
  6. Step 6: Final answer
    x = 75,344.78

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.