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Finding the Third Proportional to 31,943 and 65,936

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Solution

The third proportional to 31,943 and 65,936 is: 136,103.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,943 : 65,936 = 65,936 : x
  2. Step 2: Convert to fraction form
    31,943/65,936 = 65,936/x
  3. Step 3: Cross multiply
    31,943x = 65,936 × 65,936
  4. Step 4: Simplify right side
    31,943x = 4,347,556,096
  5. Step 5: Solve for x
    x = 4,347,556,096/31,943
  6. Step 6: Final answer
    x = 136,103.56

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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.