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Finding the Third Proportional to 41,831 and 81,560

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Solution

The third proportional to 41,831 and 81,560 is: 159,021.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,831 : 81,560 = 81,560 : x
  2. Step 2: Convert to fraction form
    41,831/81,560 = 81,560/x
  3. Step 3: Cross multiply
    41,831x = 81,560 × 81,560
  4. Step 4: Simplify right side
    41,831x = 6,652,033,600
  5. Step 5: Solve for x
    x = 6,652,033,600/41,831
  6. Step 6: Final answer
    x = 159,021.63

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.