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Finding the Third Proportional to 2,048 and 2,748

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Solution

The third proportional to 2,048 and 2,748 is: 3,687.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048 : 2,748 = 2,748 : x
  2. Step 2: Convert to fraction form
    2,048/2,748 = 2,748/x
  3. Step 3: Cross multiply
    2,048x = 2,748 × 2,748
  4. Step 4: Simplify right side
    2,048x = 7,551,504
  5. Step 5: Solve for x
    x = 7,551,504/2,048
  6. Step 6: Final answer
    x = 3,687.26

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.