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Finding the Third Proportional to 2,048 and 4,512

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Solution

The third proportional to 2,048 and 4,512 is: 9,940.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048 : 4,512 = 4,512 : x
  2. Step 2: Convert to fraction form
    2,048/4,512 = 4,512/x
  3. Step 3: Cross multiply
    2,048x = 4,512 × 4,512
  4. Step 4: Simplify right side
    2,048x = 20,358,144
  5. Step 5: Solve for x
    x = 20,358,144/2,048
  6. Step 6: Final answer
    x = 9,940.50

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.