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Finding the Third Proportional to 22,084 and 47,837

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Solution

The third proportional to 22,084 and 47,837 is: 103,621.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,084 : 47,837 = 47,837 : x
  2. Step 2: Convert to fraction form
    22,084/47,837 = 47,837/x
  3. Step 3: Cross multiply
    22,084x = 47,837 × 47,837
  4. Step 4: Simplify right side
    22,084x = 2,288,378,569
  5. Step 5: Solve for x
    x = 2,288,378,569/22,084
  6. Step 6: Final answer
    x = 103,621.56

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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.