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Finding the Third Proportional to 3,852 and 8,297.63

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Solution

The third proportional to 3,852 and 8,297.63 is: 17,873.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,852 : 8,297.63 = 8,297.63 : x
  2. Step 2: Convert to fraction form
    3,852/8,297.63 = 8,297.63/x
  3. Step 3: Cross multiply
    3,852x = 8,297.63 × 8,297.63
  4. Step 4: Simplify right side
    3,852x = 68,850,580.64
  5. Step 5: Solve for x
    x = 68,850,580.64/3,852
  6. Step 6: Final answer
    x = 17,873.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.