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Finding the Third Proportional to 3,258.56 and 5,179.78

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Solution

The third proportional to 3,258.56 and 5,179.78 is: 8,233.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,258.56 : 5,179.78 = 5,179.78 : x
  2. Step 2: Convert to fraction form
    3,258.56/5,179.78 = 5,179.78/x
  3. Step 3: Cross multiply
    3,258.56x = 5,179.78 × 5,179.78
  4. Step 4: Simplify right side
    3,258.56x = 26,830,133.80
  5. Step 5: Solve for x
    x = 26,830,133.80/3,258.56
  6. Step 6: Final answer
    x = 8,233.73

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.