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Finding the Third Proportional to 22,171 and 49,268

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Solution

The third proportional to 22,171 and 49,268 is: 109,482.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,171 : 49,268 = 49,268 : x
  2. Step 2: Convert to fraction form
    22,171/49,268 = 49,268/x
  3. Step 3: Cross multiply
    22,171x = 49,268 × 49,268
  4. Step 4: Simplify right side
    22,171x = 2,427,335,824
  5. Step 5: Solve for x
    x = 2,427,335,824/22,171
  6. Step 6: Final answer
    x = 109,482.47

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.