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Finding the Third Proportional to 20,512 and 22,816

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Solution

The third proportional to 20,512 and 22,816 is: 25,378.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,512 : 22,816 = 22,816 : x
  2. Step 2: Convert to fraction form
    20,512/22,816 = 22,816/x
  3. Step 3: Cross multiply
    20,512x = 22,816 × 22,816
  4. Step 4: Simplify right side
    20,512x = 520,569,856
  5. Step 5: Solve for x
    x = 520,569,856/20,512
  6. Step 6: Final answer
    x = 25,378.80

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.