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Finding the Third Proportional to 855.94 and 1,253.44

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Solution

The third proportional to 855.94 and 1,253.44 is: 1,835.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.94 : 1,253.44 = 1,253.44 : x
  2. Step 2: Convert to fraction form
    855.94/1,253.44 = 1,253.44/x
  3. Step 3: Cross multiply
    855.94x = 1,253.44 × 1,253.44
  4. Step 4: Simplify right side
    855.94x = 1,571,105.57
  5. Step 5: Solve for x
    x = 1,571,105.57/855.94
  6. Step 6: Final answer
    x = 1,835.54

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.