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Finding the Third Proportional to 2,034.94 and 4,380.94

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Solution

The third proportional to 2,034.94 and 4,380.94 is: 9,431.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.94 : 4,380.94 = 4,380.94 : x
  2. Step 2: Convert to fraction form
    2,034.94/4,380.94 = 4,380.94/x
  3. Step 3: Cross multiply
    2,034.94x = 4,380.94 × 4,380.94
  4. Step 4: Simplify right side
    2,034.94x = 19,192,613.38
  5. Step 5: Solve for x
    x = 19,192,613.38/2,034.94
  6. Step 6: Final answer
    x = 9,431.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.