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Finding the Third Proportional to 22,162 and 47,252

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Solution

The third proportional to 22,162 and 47,252 is: 100,746.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,162 : 47,252 = 47,252 : x
  2. Step 2: Convert to fraction form
    22,162/47,252 = 47,252/x
  3. Step 3: Cross multiply
    22,162x = 47,252 × 47,252
  4. Step 4: Simplify right side
    22,162x = 2,232,751,504
  5. Step 5: Solve for x
    x = 2,232,751,504/22,162
  6. Step 6: Final answer
    x = 100,746.84

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.