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Finding the Third Proportional to 3,741.82 and 8,265.32

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Solution

The third proportional to 3,741.82 and 8,265.32 is: 18,257.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,741.82 : 8,265.32 = 8,265.32 : x
  2. Step 2: Convert to fraction form
    3,741.82/8,265.32 = 8,265.32/x
  3. Step 3: Cross multiply
    3,741.82x = 8,265.32 × 8,265.32
  4. Step 4: Simplify right side
    3,741.82x = 68,315,552.15
  5. Step 5: Solve for x
    x = 68,315,552.15/3,741.82
  6. Step 6: Final answer
    x = 18,257.30

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.