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Finding the Third Proportional to 2,048 and 3,203.75

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Solution

The third proportional to 2,048 and 3,203.75 is: 5,011.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048 : 3,203.75 = 3,203.75 : x
  2. Step 2: Convert to fraction form
    2,048/3,203.75 = 3,203.75/x
  3. Step 3: Cross multiply
    2,048x = 3,203.75 × 3,203.75
  4. Step 4: Simplify right side
    2,048x = 10,264,014.06
  5. Step 5: Solve for x
    x = 10,264,014.06/2,048
  6. Step 6: Final answer
    x = 5,011.73

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.