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Finding the Third Proportional to 3,266.81 and 4,823.25

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Solution

The third proportional to 3,266.81 and 4,823.25 is: 7,121.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,266.81 : 4,823.25 = 4,823.25 : x
  2. Step 2: Convert to fraction form
    3,266.81/4,823.25 = 4,823.25/x
  3. Step 3: Cross multiply
    3,266.81x = 4,823.25 × 4,823.25
  4. Step 4: Simplify right side
    3,266.81x = 23,263,740.56
  5. Step 5: Solve for x
    x = 23,263,740.56/3,266.81
  6. Step 6: Final answer
    x = 7,121.24

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.