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Finding the Third Proportional to 6,743.38 and 13,754.38

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Solution

The third proportional to 6,743.38 and 13,754.38 is: 28,054.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,743.38 : 13,754.38 = 13,754.38 : x
  2. Step 2: Convert to fraction form
    6,743.38/13,754.38 = 13,754.38/x
  3. Step 3: Cross multiply
    6,743.38x = 13,754.38 × 13,754.38
  4. Step 4: Simplify right side
    6,743.38x = 189,182,831.64
  5. Step 5: Solve for x
    x = 189,182,831.64/6,743.38
  6. Step 6: Final answer
    x = 28,054.62

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.