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Finding the Third Proportional to 10,048 and 20,912

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Solution

The third proportional to 10,048 and 20,912 is: 43,522.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,048 : 20,912 = 20,912 : x
  2. Step 2: Convert to fraction form
    10,048/20,912 = 20,912/x
  3. Step 3: Cross multiply
    10,048x = 20,912 × 20,912
  4. Step 4: Simplify right side
    10,048x = 437,311,744
  5. Step 5: Solve for x
    x = 437,311,744/10,048
  6. Step 6: Final answer
    x = 43,522.27

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.