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Finding the Third Proportional to 2,576.81 and 3,994.31

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Solution

The third proportional to 2,576.81 and 3,994.31 is: 6,191.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576.81 : 3,994.31 = 3,994.31 : x
  2. Step 2: Convert to fraction form
    2,576.81/3,994.31 = 3,994.31/x
  3. Step 3: Cross multiply
    2,576.81x = 3,994.31 × 3,994.31
  4. Step 4: Simplify right side
    2,576.81x = 15,954,532.35
  5. Step 5: Solve for x
    x = 15,954,532.35/2,576.81
  6. Step 6: Final answer
    x = 6,191.58

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.