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Finding the Third Proportional to 31,232 and 43,936

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Solution

The third proportional to 31,232 and 43,936 is: 61,807.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,232 : 43,936 = 43,936 : x
  2. Step 2: Convert to fraction form
    31,232/43,936 = 43,936/x
  3. Step 3: Cross multiply
    31,232x = 43,936 × 43,936
  4. Step 4: Simplify right side
    31,232x = 1,930,372,096
  5. Step 5: Solve for x
    x = 1,930,372,096/31,232
  6. Step 6: Final answer
    x = 61,807.51

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.