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Finding the Third Proportional to 855.75 and 1,601.63

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Solution

The third proportional to 855.75 and 1,601.63 is: 2,997.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.75 : 1,601.63 = 1,601.63 : x
  2. Step 2: Convert to fraction form
    855.75/1,601.63 = 1,601.63/x
  3. Step 3: Cross multiply
    855.75x = 1,601.63 × 1,601.63
  4. Step 4: Simplify right side
    855.75x = 2,565,202.64
  5. Step 5: Solve for x
    x = 2,565,202.64/855.75
  6. Step 6: Final answer
    x = 2,997.61

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.