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Finding the Third Proportional to 2,104.88 and 3,968.44

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Solution

The third proportional to 2,104.88 and 3,968.44 is: 7,481.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.88 : 3,968.44 = 3,968.44 : x
  2. Step 2: Convert to fraction form
    2,104.88/3,968.44 = 3,968.44/x
  3. Step 3: Cross multiply
    2,104.88x = 3,968.44 × 3,968.44
  4. Step 4: Simplify right side
    2,104.88x = 15,748,496.19
  5. Step 5: Solve for x
    x = 15,748,496.19/2,104.88
  6. Step 6: Final answer
    x = 7,481.92

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.