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Finding the Third Proportional to 31,936.50 and 65,923

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Solution

The third proportional to 31,936.50 and 65,923 is: 136,077.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,936.50 : 65,923 = 65,923 : x
  2. Step 2: Convert to fraction form
    31,936.50/65,923 = 65,923/x
  3. Step 3: Cross multiply
    31,936.50x = 65,923 × 65,923
  4. Step 4: Simplify right side
    31,936.50x = 4,345,841,929
  5. Step 5: Solve for x
    x = 4,345,841,929/31,936.50
  6. Step 6: Final answer
    x = 136,077.59

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.