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Finding the Third Proportional to 2,757.94 and 5,376.66

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Solution

The third proportional to 2,757.94 and 5,376.66 is: 10,481.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757.94 : 5,376.66 = 5,376.66 : x
  2. Step 2: Convert to fraction form
    2,757.94/5,376.66 = 5,376.66/x
  3. Step 3: Cross multiply
    2,757.94x = 5,376.66 × 5,376.66
  4. Step 4: Simplify right side
    2,757.94x = 28,908,432.43
  5. Step 5: Solve for x
    x = 28,908,432.43/2,757.94
  6. Step 6: Final answer
    x = 10,481.90

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.