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Finding the Third Proportional to 2,550.94 and 3,941.81

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Solution

The third proportional to 2,550.94 and 3,941.81 is: 6,091.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,550.94 : 3,941.81 = 3,941.81 : x
  2. Step 2: Convert to fraction form
    2,550.94/3,941.81 = 3,941.81/x
  3. Step 3: Cross multiply
    2,550.94x = 3,941.81 × 3,941.81
  4. Step 4: Simplify right side
    2,550.94x = 15,537,885.79
  5. Step 5: Solve for x
    x = 15,537,885.79/2,550.94
  6. Step 6: Final answer
    x = 6,091.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.