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Finding the Third Proportional to 3,996.75 and 6,384.75

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Solution

The third proportional to 3,996.75 and 6,384.75 is: 10,199.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,996.75 : 6,384.75 = 6,384.75 : x
  2. Step 2: Convert to fraction form
    3,996.75/6,384.75 = 6,384.75/x
  3. Step 3: Cross multiply
    3,996.75x = 6,384.75 × 6,384.75
  4. Step 4: Simplify right side
    3,996.75x = 40,765,032.56
  5. Step 5: Solve for x
    x = 40,765,032.56/3,996.75
  6. Step 6: Final answer
    x = 10,199.55

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.