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Finding the Third Proportional to 1,796.34 and 2,451.09

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Solution

The third proportional to 1,796.34 and 2,451.09 is: 3,344.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,796.34 : 2,451.09 = 2,451.09 : x
  2. Step 2: Convert to fraction form
    1,796.34/2,451.09 = 2,451.09/x
  3. Step 3: Cross multiply
    1,796.34x = 2,451.09 × 2,451.09
  4. Step 4: Simplify right side
    1,796.34x = 6,007,860.57
  5. Step 5: Solve for x
    x = 6,007,860.57/1,796.34
  6. Step 6: Final answer
    x = 3,344.49

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.