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Finding the Third Proportional to 2,873.81 and 3,742.03

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Solution

The third proportional to 2,873.81 and 3,742.03 is: 4,872.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,873.81 : 3,742.03 = 3,742.03 : x
  2. Step 2: Convert to fraction form
    2,873.81/3,742.03 = 3,742.03/x
  3. Step 3: Cross multiply
    2,873.81x = 3,742.03 × 3,742.03
  4. Step 4: Simplify right side
    2,873.81x = 14,002,797.88
  5. Step 5: Solve for x
    x = 14,002,797.88/2,873.81
  6. Step 6: Final answer
    x = 4,872.55

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.