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Finding the Third Proportional to 3,965.63 and 4,083.75

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Solution

The third proportional to 3,965.63 and 4,083.75 is: 4,205.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.63 : 4,083.75 = 4,083.75 : x
  2. Step 2: Convert to fraction form
    3,965.63/4,083.75 = 4,083.75/x
  3. Step 3: Cross multiply
    3,965.63x = 4,083.75 × 4,083.75
  4. Step 4: Simplify right side
    3,965.63x = 16,677,014.06
  5. Step 5: Solve for x
    x = 16,677,014.06/3,965.63
  6. Step 6: Final answer
    x = 4,205.39

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Why These Related Problems?

These problems maintain the same ratio (1.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.