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Finding the Third Proportional to 3,823.88 and 8,205.75

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Solution

The third proportional to 3,823.88 and 8,205.75 is: 17,608.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,823.88 : 8,205.75 = 8,205.75 : x
  2. Step 2: Convert to fraction form
    3,823.88/8,205.75 = 8,205.75/x
  3. Step 3: Cross multiply
    3,823.88x = 8,205.75 × 8,205.75
  4. Step 4: Simplify right side
    3,823.88x = 67,334,333.06
  5. Step 5: Solve for x
    x = 67,334,333.06/3,823.88
  6. Step 6: Final answer
    x = 17,608.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.