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Finding the Third Proportional to 3,224.81 and 7,884.84

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Solution

The third proportional to 3,224.81 and 7,884.84 is: 19,278.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,224.81 : 7,884.84 = 7,884.84 : x
  2. Step 2: Convert to fraction form
    3,224.81/7,884.84 = 7,884.84/x
  3. Step 3: Cross multiply
    3,224.81x = 7,884.84 × 7,884.84
  4. Step 4: Simplify right side
    3,224.81x = 62,170,760.96
  5. Step 5: Solve for x
    x = 62,170,760.96/3,224.81
  6. Step 6: Final answer
    x = 19,278.88

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Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.