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Finding the Third Proportional to 31,493 and 44,035

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Solution

The third proportional to 31,493 and 44,035 is: 61,571.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,493 : 44,035 = 44,035 : x
  2. Step 2: Convert to fraction form
    31,493/44,035 = 44,035/x
  3. Step 3: Cross multiply
    31,493x = 44,035 × 44,035
  4. Step 4: Simplify right side
    31,493x = 1,939,081,225
  5. Step 5: Solve for x
    x = 1,939,081,225/31,493
  6. Step 6: Final answer
    x = 61,571.82

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.