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Finding the Third Proportional to 2,245.22 and 5,435.86

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Solution

The third proportional to 2,245.22 and 5,435.86 is: 13,160.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,245.22 : 5,435.86 = 5,435.86 : x
  2. Step 2: Convert to fraction form
    2,245.22/5,435.86 = 5,435.86/x
  3. Step 3: Cross multiply
    2,245.22x = 5,435.86 × 5,435.86
  4. Step 4: Simplify right side
    2,245.22x = 29,548,567.14
  5. Step 5: Solve for x
    x = 29,548,567.14/2,245.22
  6. Step 6: Final answer
    x = 13,160.66

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.