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Finding the Third Proportional to 3,827.25 and 5,740.88

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Solution

The third proportional to 3,827.25 and 5,740.88 is: 8,611.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.25 : 5,740.88 = 5,740.88 : x
  2. Step 2: Convert to fraction form
    3,827.25/5,740.88 = 5,740.88/x
  3. Step 3: Cross multiply
    3,827.25x = 5,740.88 × 5,740.88
  4. Step 4: Simplify right side
    3,827.25x = 32,957,645.77
  5. Step 5: Solve for x
    x = 32,957,645.77/3,827.25
  6. Step 6: Final answer
    x = 8,611.31

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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.