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Finding the Third Proportional to 2,048 and 4,442.88

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Solution

The third proportional to 2,048 and 4,442.88 is: 9,638.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048 : 4,442.88 = 4,442.88 : x
  2. Step 2: Convert to fraction form
    2,048/4,442.88 = 4,442.88/x
  3. Step 3: Cross multiply
    2,048x = 4,442.88 × 4,442.88
  4. Step 4: Simplify right side
    2,048x = 19,739,138.27
  5. Step 5: Solve for x
    x = 19,739,138.27/2,048
  6. Step 6: Final answer
    x = 9,638.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.