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Finding the Third Proportional to 6,339.94 and 13,849.31

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Solution

The third proportional to 6,339.94 and 13,849.31 is: 30,253.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,339.94 : 13,849.31 = 13,849.31 : x
  2. Step 2: Convert to fraction form
    6,339.94/13,849.31 = 13,849.31/x
  3. Step 3: Cross multiply
    6,339.94x = 13,849.31 × 13,849.31
  4. Step 4: Simplify right side
    6,339.94x = 191,803,456.72
  5. Step 5: Solve for x
    x = 191,803,456.72/6,339.94
  6. Step 6: Final answer
    x = 30,253.21

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.