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Finding the Third Proportional to 22,568 and 33,720

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Solution

The third proportional to 22,568 and 33,720 is: 50,382.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,568 : 33,720 = 33,720 : x
  2. Step 2: Convert to fraction form
    22,568/33,720 = 33,720/x
  3. Step 3: Cross multiply
    22,568x = 33,720 × 33,720
  4. Step 4: Simplify right side
    22,568x = 1,137,038,400
  5. Step 5: Solve for x
    x = 1,137,038,400/22,568
  6. Step 6: Final answer
    x = 50,382.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.