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Finding the Third Proportional to 1,796.91 and 2,727.77

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Solution

The third proportional to 1,796.91 and 2,727.77 is: 4,140.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,796.91 : 2,727.77 = 2,727.77 : x
  2. Step 2: Convert to fraction form
    1,796.91/2,727.77 = 2,727.77/x
  3. Step 3: Cross multiply
    1,796.91x = 2,727.77 × 2,727.77
  4. Step 4: Simplify right side
    1,796.91x = 7,440,747.93
  5. Step 5: Solve for x
    x = 7,440,747.93/1,796.91
  6. Step 6: Final answer
    x = 4,140.87

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.