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Finding the Third Proportional to 2,741.98 and 4,137.64

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Solution

The third proportional to 2,741.98 and 4,137.64 is: 6,243.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741.98 : 4,137.64 = 4,137.64 : x
  2. Step 2: Convert to fraction form
    2,741.98/4,137.64 = 4,137.64/x
  3. Step 3: Cross multiply
    2,741.98x = 4,137.64 × 4,137.64
  4. Step 4: Simplify right side
    2,741.98x = 17,120,102.27
  5. Step 5: Solve for x
    x = 17,120,102.27/2,741.98
  6. Step 6: Final answer
    x = 6,243.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.