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Finding the Third Proportional to 22,009 and 33,119

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Solution

The third proportional to 22,009 and 33,119 is: 49,837.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,009 : 33,119 = 33,119 : x
  2. Step 2: Convert to fraction form
    22,009/33,119 = 33,119/x
  3. Step 3: Cross multiply
    22,009x = 33,119 × 33,119
  4. Step 4: Simplify right side
    22,009x = 1,096,868,161
  5. Step 5: Solve for x
    x = 1,096,868,161/22,009
  6. Step 6: Final answer
    x = 49,837.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.