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Finding the Third Proportional to 2,739.45 and 3,876.30

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Solution

The third proportional to 2,739.45 and 3,876.30 is: 5,484.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,739.45 : 3,876.30 = 3,876.30 : x
  2. Step 2: Convert to fraction form
    2,739.45/3,876.30 = 3,876.30/x
  3. Step 3: Cross multiply
    2,739.45x = 3,876.30 × 3,876.30
  4. Step 4: Simplify right side
    2,739.45x = 15,025,738.03
  5. Step 5: Solve for x
    x = 15,025,738.03/2,739.45
  6. Step 6: Final answer
    x = 5,484.94

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.