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Finding the Third Proportional to 6,393.94 and 13,676.06

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Solution

The third proportional to 6,393.94 and 13,676.06 is: 29,251.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,393.94 : 13,676.06 = 13,676.06 : x
  2. Step 2: Convert to fraction form
    6,393.94/13,676.06 = 13,676.06/x
  3. Step 3: Cross multiply
    6,393.94x = 13,676.06 × 13,676.06
  4. Step 4: Simplify right side
    6,393.94x = 187,034,685.50
  5. Step 5: Solve for x
    x = 187,034,685.50/6,393.94
  6. Step 6: Final answer
    x = 29,251.88

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.