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Finding the Third Proportional to 2,739.94 and 4,109.91

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Solution

The third proportional to 2,739.94 and 4,109.91 is: 6,164.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,739.94 : 4,109.91 = 4,109.91 : x
  2. Step 2: Convert to fraction form
    2,739.94/4,109.91 = 4,109.91/x
  3. Step 3: Cross multiply
    2,739.94x = 4,109.91 × 4,109.91
  4. Step 4: Simplify right side
    2,739.94x = 16,891,329.38
  5. Step 5: Solve for x
    x = 16,891,329.38/2,739.94
  6. Step 6: Final answer
    x = 6,164.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.