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Finding the Third Proportional to 2,380.22 and 3,620.95

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Solution

The third proportional to 2,380.22 and 3,620.95 is: 5,508.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380.22 : 3,620.95 = 3,620.95 : x
  2. Step 2: Convert to fraction form
    2,380.22/3,620.95 = 3,620.95/x
  3. Step 3: Cross multiply
    2,380.22x = 3,620.95 × 3,620.95
  4. Step 4: Simplify right side
    2,380.22x = 13,111,301.53
  5. Step 5: Solve for x
    x = 13,111,301.53/2,380.22
  6. Step 6: Final answer
    x = 5,508.44

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.