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Finding the Third Proportional to 22,299 and 33,378

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Solution

The third proportional to 22,299 and 33,378 is: 49,961.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,299 : 33,378 = 33,378 : x
  2. Step 2: Convert to fraction form
    22,299/33,378 = 33,378/x
  3. Step 3: Cross multiply
    22,299x = 33,378 × 33,378
  4. Step 4: Simplify right side
    22,299x = 1,114,090,884
  5. Step 5: Solve for x
    x = 1,114,090,884/22,299
  6. Step 6: Final answer
    x = 49,961.47

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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.