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Finding the Third Proportional to 20,880 and 32,388

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Solution

The third proportional to 20,880 and 32,388 is: 50,238.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,880 : 32,388 = 32,388 : x
  2. Step 2: Convert to fraction form
    20,880/32,388 = 32,388/x
  3. Step 3: Cross multiply
    20,880x = 32,388 × 32,388
  4. Step 4: Simplify right side
    20,880x = 1,048,982,544
  5. Step 5: Solve for x
    x = 1,048,982,544/20,880
  6. Step 6: Final answer
    x = 50,238.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.