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Finding the Third Proportional to 2,729.67 and 4,120.45

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Solution

The third proportional to 2,729.67 and 4,120.45 is: 6,219.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,729.67 : 4,120.45 = 4,120.45 : x
  2. Step 2: Convert to fraction form
    2,729.67/4,120.45 = 4,120.45/x
  3. Step 3: Cross multiply
    2,729.67x = 4,120.45 × 4,120.45
  4. Step 4: Simplify right side
    2,729.67x = 16,978,133.96
  5. Step 5: Solve for x
    x = 16,978,133.96/2,729.67
  6. Step 6: Final answer
    x = 6,219.84

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.