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Finding the Third Proportional to 2,740.08 and 5,998.22

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Solution

The third proportional to 2,740.08 and 5,998.22 is: 13,130.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,740.08 : 5,998.22 = 5,998.22 : x
  2. Step 2: Convert to fraction form
    2,740.08/5,998.22 = 5,998.22/x
  3. Step 3: Cross multiply
    2,740.08x = 5,998.22 × 5,998.22
  4. Step 4: Simplify right side
    2,740.08x = 35,978,628.17
  5. Step 5: Solve for x
    x = 35,978,628.17/2,740.08
  6. Step 6: Final answer
    x = 13,130.51

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