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Finding the Third Proportional to 3,668.94 and 5,573.44

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Solution

The third proportional to 3,668.94 and 5,573.44 is: 8,466.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668.94 : 5,573.44 = 5,573.44 : x
  2. Step 2: Convert to fraction form
    3,668.94/5,573.44 = 5,573.44/x
  3. Step 3: Cross multiply
    3,668.94x = 5,573.44 × 5,573.44
  4. Step 4: Simplify right side
    3,668.94x = 31,063,270.88
  5. Step 5: Solve for x
    x = 31,063,270.88/3,668.94
  6. Step 6: Final answer
    x = 8,466.55

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.