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Finding the Third Proportional to 3,850.77 and 7,883.68

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Solution

The third proportional to 3,850.77 and 7,883.68 is: 16,140.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,850.77 : 7,883.68 = 7,883.68 : x
  2. Step 2: Convert to fraction form
    3,850.77/7,883.68 = 7,883.68/x
  3. Step 3: Cross multiply
    3,850.77x = 7,883.68 × 7,883.68
  4. Step 4: Simplify right side
    3,850.77x = 62,152,467.01
  5. Step 5: Solve for x
    x = 62,152,467.01/3,850.77
  6. Step 6: Final answer
    x = 16,140.27

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.