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Finding the Third Proportional to 22,421 and 33,199

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Solution

The third proportional to 22,421 and 33,199 is: 49,158.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,421 : 33,199 = 33,199 : x
  2. Step 2: Convert to fraction form
    22,421/33,199 = 33,199/x
  3. Step 3: Cross multiply
    22,421x = 33,199 × 33,199
  4. Step 4: Simplify right side
    22,421x = 1,102,173,601
  5. Step 5: Solve for x
    x = 1,102,173,601/22,421
  6. Step 6: Final answer
    x = 49,158.09

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.