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Finding the Third Proportional to 3,832.00 and 8,560.85

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Solution

The third proportional to 3,832.00 and 8,560.85 is: 19,125.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832.00 : 8,560.85 = 8,560.85 : x
  2. Step 2: Convert to fraction form
    3,832.00/8,560.85 = 8,560.85/x
  3. Step 3: Cross multiply
    3,832.00x = 8,560.85 × 8,560.85
  4. Step 4: Simplify right side
    3,832.00x = 73,288,079.15
  5. Step 5: Solve for x
    x = 73,288,079.15/3,832.00
  6. Step 6: Final answer
    x = 19,125.30

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.