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Finding the Third Proportional to 22,205 and 47,286

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Solution

The third proportional to 22,205 and 47,286 is: 100,696.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,205 : 47,286 = 47,286 : x
  2. Step 2: Convert to fraction form
    22,205/47,286 = 47,286/x
  3. Step 3: Cross multiply
    22,205x = 47,286 × 47,286
  4. Step 4: Simplify right side
    22,205x = 2,235,965,796
  5. Step 5: Solve for x
    x = 2,235,965,796/22,205
  6. Step 6: Final answer
    x = 100,696.50

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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.