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Finding the Third Proportional to 3,135.27 and 4,181.78

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Solution

The third proportional to 3,135.27 and 4,181.78 is: 5,577.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,135.27 : 4,181.78 = 4,181.78 : x
  2. Step 2: Convert to fraction form
    3,135.27/4,181.78 = 4,181.78/x
  3. Step 3: Cross multiply
    3,135.27x = 4,181.78 × 4,181.78
  4. Step 4: Simplify right side
    3,135.27x = 17,487,310.76
  5. Step 5: Solve for x
    x = 17,487,310.76/3,135.27
  6. Step 6: Final answer
    x = 5,577.61

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.