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Finding the Third Proportional to 3,825.94 and 5,852.44

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Solution

The third proportional to 3,825.94 and 5,852.44 is: 8,952.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,825.94 : 5,852.44 = 5,852.44 : x
  2. Step 2: Convert to fraction form
    3,825.94/5,852.44 = 5,852.44/x
  3. Step 3: Cross multiply
    3,825.94x = 5,852.44 × 5,852.44
  4. Step 4: Simplify right side
    3,825.94x = 34,251,024.69
  5. Step 5: Solve for x
    x = 34,251,024.69/3,825.94
  6. Step 6: Final answer
    x = 8,952.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.