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Finding the Third Proportional to 2,713.22 and 5,945.63

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Solution

The third proportional to 2,713.22 and 5,945.63 is: 13,028.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.22 : 5,945.63 = 5,945.63 : x
  2. Step 2: Convert to fraction form
    2,713.22/5,945.63 = 5,945.63/x
  3. Step 3: Cross multiply
    2,713.22x = 5,945.63 × 5,945.63
  4. Step 4: Simplify right side
    2,713.22x = 35,350,456.64
  5. Step 5: Solve for x
    x = 35,350,456.64/2,713.22
  6. Step 6: Final answer
    x = 13,028.97

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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.