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Finding the Third Proportional to 51,847 and 82,441

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Solution

The third proportional to 51,847 and 82,441 is: 131,087.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,847 : 82,441 = 82,441 : x
  2. Step 2: Convert to fraction form
    51,847/82,441 = 82,441/x
  3. Step 3: Cross multiply
    51,847x = 82,441 × 82,441
  4. Step 4: Simplify right side
    51,847x = 6,796,518,481
  5. Step 5: Solve for x
    x = 6,796,518,481/51,847
  6. Step 6: Final answer
    x = 131,087.98

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.