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Finding the Third Proportional to 2,724.75 and 5,968.13

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Solution

The third proportional to 2,724.75 and 5,968.13 is: 13,072.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,724.75 : 5,968.13 = 5,968.13 : x
  2. Step 2: Convert to fraction form
    2,724.75/5,968.13 = 5,968.13/x
  3. Step 3: Cross multiply
    2,724.75x = 5,968.13 × 5,968.13
  4. Step 4: Simplify right side
    2,724.75x = 35,618,516.02
  5. Step 5: Solve for x
    x = 35,618,516.02/2,724.75
  6. Step 6: Final answer
    x = 13,072.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.