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Finding the Third Proportional to 2,682.49 and 4,083.54

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Solution

The third proportional to 2,682.49 and 4,083.54 is: 6,216.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.49 : 4,083.54 = 4,083.54 : x
  2. Step 2: Convert to fraction form
    2,682.49/4,083.54 = 4,083.54/x
  3. Step 3: Cross multiply
    2,682.49x = 4,083.54 × 4,083.54
  4. Step 4: Simplify right side
    2,682.49x = 16,675,291.27
  5. Step 5: Solve for x
    x = 16,675,291.27/2,682.49
  6. Step 6: Final answer
    x = 6,216.34

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.