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Finding the Third Proportional to 31,238.25 and 49,962.75

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Solution

The third proportional to 31,238.25 and 49,962.75 is: 79,910.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,238.25 : 49,962.75 = 49,962.75 : x
  2. Step 2: Convert to fraction form
    31,238.25/49,962.75 = 49,962.75/x
  3. Step 3: Cross multiply
    31,238.25x = 49,962.75 × 49,962.75
  4. Step 4: Simplify right side
    31,238.25x = 2,496,276,387.56
  5. Step 5: Solve for x
    x = 2,496,276,387.56/31,238.25
  6. Step 6: Final answer
    x = 79,910.89

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.