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Finding the Third Proportional to 22,186 and 33,369

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Solution

The third proportional to 22,186 and 33,369 is: 50,188.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,186 : 33,369 = 33,369 : x
  2. Step 2: Convert to fraction form
    22,186/33,369 = 33,369/x
  3. Step 3: Cross multiply
    22,186x = 33,369 × 33,369
  4. Step 4: Simplify right side
    22,186x = 1,113,490,161
  5. Step 5: Solve for x
    x = 1,113,490,161/22,186
  6. Step 6: Final answer
    x = 50,188.87

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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.