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Finding the Third Proportional to 22,173 and 49,267

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Solution

The third proportional to 22,173 and 49,267 is: 109,468.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,173 : 49,267 = 49,267 : x
  2. Step 2: Convert to fraction form
    22,173/49,267 = 49,267/x
  3. Step 3: Cross multiply
    22,173x = 49,267 × 49,267
  4. Step 4: Simplify right side
    22,173x = 2,427,237,289
  5. Step 5: Solve for x
    x = 2,427,237,289/22,173
  6. Step 6: Final answer
    x = 109,468.15

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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.