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Finding the Third Proportional to 3,850.03 and 5,767.45

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Solution

The third proportional to 3,850.03 and 5,767.45 is: 8,639.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,850.03 : 5,767.45 = 5,767.45 : x
  2. Step 2: Convert to fraction form
    3,850.03/5,767.45 = 5,767.45/x
  3. Step 3: Cross multiply
    3,850.03x = 5,767.45 × 5,767.45
  4. Step 4: Simplify right side
    3,850.03x = 33,263,515.55
  5. Step 5: Solve for x
    x = 33,263,515.55/3,850.03
  6. Step 6: Final answer
    x = 8,639.80

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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.