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Finding the Third Proportional to 6,380.44 and 13,518.56

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Solution

The third proportional to 6,380.44 and 13,518.56 is: 28,642.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,380.44 : 13,518.56 = 13,518.56 : x
  2. Step 2: Convert to fraction form
    6,380.44/13,518.56 = 13,518.56/x
  3. Step 3: Cross multiply
    6,380.44x = 13,518.56 × 13,518.56
  4. Step 4: Simplify right side
    6,380.44x = 182,751,532.07
  5. Step 5: Solve for x
    x = 182,751,532.07/6,380.44
  6. Step 6: Final answer
    x = 28,642.48

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.