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Finding the Third Proportional to 2,739.94 and 4,293.56

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Solution

The third proportional to 2,739.94 and 4,293.56 is: 6,728.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,739.94 : 4,293.56 = 4,293.56 : x
  2. Step 2: Convert to fraction form
    2,739.94/4,293.56 = 4,293.56/x
  3. Step 3: Cross multiply
    2,739.94x = 4,293.56 × 4,293.56
  4. Step 4: Simplify right side
    2,739.94x = 18,434,678.94
  5. Step 5: Solve for x
    x = 18,434,678.94/2,739.94
  6. Step 6: Final answer
    x = 6,728.14

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.