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Finding the Third Proportional to 4,811.63 and 7,198.88

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Solution

The third proportional to 4,811.63 and 7,198.88 is: 10,770.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,811.63 : 7,198.88 = 7,198.88 : x
  2. Step 2: Convert to fraction form
    4,811.63/7,198.88 = 7,198.88/x
  3. Step 3: Cross multiply
    4,811.63x = 7,198.88 × 7,198.88
  4. Step 4: Simplify right side
    4,811.63x = 51,823,801.27
  5. Step 5: Solve for x
    x = 51,823,801.27/4,811.63
  6. Step 6: Final answer
    x = 10,770.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.