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Finding the Third Proportional to 47,926.75 and 100,811

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Solution

The third proportional to 47,926.75 and 100,811 is: 212,049.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,926.75 : 100,811 = 100,811 : x
  2. Step 2: Convert to fraction form
    47,926.75/100,811 = 100,811/x
  3. Step 3: Cross multiply
    47,926.75x = 100,811 × 100,811
  4. Step 4: Simplify right side
    47,926.75x = 10,162,857,721
  5. Step 5: Solve for x
    x = 10,162,857,721/47,926.75
  6. Step 6: Final answer
    x = 212,049.80

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.