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Finding the Third Proportional to 22,720 and 33,756

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Solution

The third proportional to 22,720 and 33,756 is: 50,152.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,720 : 33,756 = 33,756 : x
  2. Step 2: Convert to fraction form
    22,720/33,756 = 33,756/x
  3. Step 3: Cross multiply
    22,720x = 33,756 × 33,756
  4. Step 4: Simplify right side
    22,720x = 1,139,467,536
  5. Step 5: Solve for x
    x = 1,139,467,536/22,720
  6. Step 6: Final answer
    x = 50,152.62

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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.