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Finding the Third Proportional to 940.25 and 2,037.44

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Solution

The third proportional to 940.25 and 2,037.44 is: 4,414.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.25 : 2,037.44 = 2,037.44 : x
  2. Step 2: Convert to fraction form
    940.25/2,037.44 = 2,037.44/x
  3. Step 3: Cross multiply
    940.25x = 2,037.44 × 2,037.44
  4. Step 4: Simplify right side
    940.25x = 4,151,151.57
  5. Step 5: Solve for x
    x = 4,151,151.57/940.25
  6. Step 6: Final answer
    x = 4,414.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.