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Finding the Third Proportional to 3,851.44 and 8,249.06

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Solution

The third proportional to 3,851.44 and 8,249.06 is: 17,667.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,851.44 : 8,249.06 = 8,249.06 : x
  2. Step 2: Convert to fraction form
    3,851.44/8,249.06 = 8,249.06/x
  3. Step 3: Cross multiply
    3,851.44x = 8,249.06 × 8,249.06
  4. Step 4: Simplify right side
    3,851.44x = 68,047,032.13
  5. Step 5: Solve for x
    x = 68,047,032.13/3,851.44
  6. Step 6: Final answer
    x = 17,667.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.