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Finding the Third Proportional to 31,236.75 and 49,960.13

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Solution

The third proportional to 31,236.75 and 49,960.13 is: 79,906.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,236.75 : 49,960.13 = 49,960.13 : x
  2. Step 2: Convert to fraction form
    31,236.75/49,960.13 = 49,960.13/x
  3. Step 3: Cross multiply
    31,236.75x = 49,960.13 × 49,960.13
  4. Step 4: Simplify right side
    31,236.75x = 2,496,014,090.02
  5. Step 5: Solve for x
    x = 2,496,014,090.02/31,236.75
  6. Step 6: Final answer
    x = 79,906.33

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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.