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Finding the Third Proportional to 2,769.38 and 3,998.63

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Solution

The third proportional to 2,769.38 and 3,998.63 is: 5,773.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769.38 : 3,998.63 = 3,998.63 : x
  2. Step 2: Convert to fraction form
    2,769.38/3,998.63 = 3,998.63/x
  3. Step 3: Cross multiply
    2,769.38x = 3,998.63 × 3,998.63
  4. Step 4: Simplify right side
    2,769.38x = 15,989,001.89
  5. Step 5: Solve for x
    x = 15,989,001.89/2,769.38
  6. Step 6: Final answer
    x = 5,773.51

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.