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Finding the Third Proportional to 3,643.88 and 5,466.56

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Solution

The third proportional to 3,643.88 and 5,466.56 is: 8,200.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.88 : 5,466.56 = 5,466.56 : x
  2. Step 2: Convert to fraction form
    3,643.88/5,466.56 = 5,466.56/x
  3. Step 3: Cross multiply
    3,643.88x = 5,466.56 × 5,466.56
  4. Step 4: Simplify right side
    3,643.88x = 29,883,305.57
  5. Step 5: Solve for x
    x = 29,883,305.57/3,643.88
  6. Step 6: Final answer
    x = 8,200.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.