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Finding the Third Proportional to 44,571 and 96,826

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Solution

The third proportional to 44,571 and 96,826 is: 210,344.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,571 : 96,826 = 96,826 : x
  2. Step 2: Convert to fraction form
    44,571/96,826 = 96,826/x
  3. Step 3: Cross multiply
    44,571x = 96,826 × 96,826
  4. Step 4: Simplify right side
    44,571x = 9,375,274,276
  5. Step 5: Solve for x
    x = 9,375,274,276/44,571
  6. Step 6: Final answer
    x = 210,344.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.