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Finding the Third Proportional to 2,738.81 and 3,020.06

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Solution

The third proportional to 2,738.81 and 3,020.06 is: 3,330.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.81 : 3,020.06 = 3,020.06 : x
  2. Step 2: Convert to fraction form
    2,738.81/3,020.06 = 3,020.06/x
  3. Step 3: Cross multiply
    2,738.81x = 3,020.06 × 3,020.06
  4. Step 4: Simplify right side
    2,738.81x = 9,120,777.50
  5. Step 5: Solve for x
    x = 9,120,777.50/2,738.81
  6. Step 6: Final answer
    x = 3,330.19

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.