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Finding the Third Proportional to 6,083.58 and 13,199.84

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Solution

The third proportional to 6,083.58 and 13,199.84 is: 28,640.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,083.58 : 13,199.84 = 13,199.84 : x
  2. Step 2: Convert to fraction form
    6,083.58/13,199.84 = 13,199.84/x
  3. Step 3: Cross multiply
    6,083.58x = 13,199.84 × 13,199.84
  4. Step 4: Simplify right side
    6,083.58x = 174,235,668.78
  5. Step 5: Solve for x
    x = 174,235,668.78/6,083.58
  6. Step 6: Final answer
    x = 28,640.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.