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Finding the Third Proportional to 855.14 and 1,755.84

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Solution

The third proportional to 855.14 and 1,755.84 is: 3,605.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.14 : 1,755.84 = 1,755.84 : x
  2. Step 2: Convert to fraction form
    855.14/1,755.84 = 1,755.84/x
  3. Step 3: Cross multiply
    855.14x = 1,755.84 × 1,755.84
  4. Step 4: Simplify right side
    855.14x = 3,082,987.27
  5. Step 5: Solve for x
    x = 3,082,987.27/855.14
  6. Step 6: Final answer
    x = 3,605.24

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.