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Finding the Third Proportional to 1,399.78 and 3,026.74

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Solution

The third proportional to 1,399.78 and 3,026.74 is: 6,544.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.78 : 3,026.74 = 3,026.74 : x
  2. Step 2: Convert to fraction form
    1,399.78/3,026.74 = 3,026.74/x
  3. Step 3: Cross multiply
    1,399.78x = 3,026.74 × 3,026.74
  4. Step 4: Simplify right side
    1,399.78x = 9,161,168.27
  5. Step 5: Solve for x
    x = 9,161,168.27/1,399.78
  6. Step 6: Final answer
    x = 6,544.71

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.