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Finding the Third Proportional to 1,774.83 and 2,755.90

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Solution

The third proportional to 1,774.83 and 2,755.90 is: 4,279.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,774.83 : 2,755.90 = 2,755.90 : x
  2. Step 2: Convert to fraction form
    1,774.83/2,755.90 = 2,755.90/x
  3. Step 3: Cross multiply
    1,774.83x = 2,755.90 × 2,755.90
  4. Step 4: Simplify right side
    1,774.83x = 7,594,976.20
  5. Step 5: Solve for x
    x = 7,594,976.20/1,774.83
  6. Step 6: Final answer
    x = 4,279.27

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.