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Finding the Third Proportional to 22,357 and 47,378.75

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Solution

The third proportional to 22,357 and 47,378.75 is: 100,404.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,357 : 47,378.75 = 47,378.75 : x
  2. Step 2: Convert to fraction form
    22,357/47,378.75 = 47,378.75/x
  3. Step 3: Cross multiply
    22,357x = 47,378.75 × 47,378.75
  4. Step 4: Simplify right side
    22,357x = 2,244,745,951.56
  5. Step 5: Solve for x
    x = 2,244,745,951.56/22,357
  6. Step 6: Final answer
    x = 100,404.61

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.