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Finding the Third Proportional to 41,144 and 58,251

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Solution

The third proportional to 41,144 and 58,251 is: 82,470.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,144 : 58,251 = 58,251 : x
  2. Step 2: Convert to fraction form
    41,144/58,251 = 58,251/x
  3. Step 3: Cross multiply
    41,144x = 58,251 × 58,251
  4. Step 4: Simplify right side
    41,144x = 3,393,179,001
  5. Step 5: Solve for x
    x = 3,393,179,001/41,144
  6. Step 6: Final answer
    x = 82,470.81

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.