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Finding the Third Proportional to 3,825.56 and 5,729.06

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Solution

The third proportional to 3,825.56 and 5,729.06 is: 8,579.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,825.56 : 5,729.06 = 5,729.06 : x
  2. Step 2: Convert to fraction form
    3,825.56/5,729.06 = 5,729.06/x
  3. Step 3: Cross multiply
    3,825.56x = 5,729.06 × 5,729.06
  4. Step 4: Simplify right side
    3,825.56x = 32,822,157.13
  5. Step 5: Solve for x
    x = 32,822,157.13/3,825.56
  6. Step 6: Final answer
    x = 8,579.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.