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Finding the Third Proportional to 2,257.03 and 3,351.38

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Solution

The third proportional to 2,257.03 and 3,351.38 is: 4,976.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.03 : 3,351.38 = 3,351.38 : x
  2. Step 2: Convert to fraction form
    2,257.03/3,351.38 = 3,351.38/x
  3. Step 3: Cross multiply
    2,257.03x = 3,351.38 × 3,351.38
  4. Step 4: Simplify right side
    2,257.03x = 11,231,714.39
  5. Step 5: Solve for x
    x = 11,231,714.39/2,257.03
  6. Step 6: Final answer
    x = 4,976.32

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.