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Finding the Third Proportional to 7,986.94 and 16,628.63

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Solution

The third proportional to 7,986.94 and 16,628.63 is: 34,620.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,986.94 : 16,628.63 = 16,628.63 : x
  2. Step 2: Convert to fraction form
    7,986.94/16,628.63 = 16,628.63/x
  3. Step 3: Cross multiply
    7,986.94x = 16,628.63 × 16,628.63
  4. Step 4: Simplify right side
    7,986.94x = 276,511,169.39
  5. Step 5: Solve for x
    x = 276,511,169.39/7,986.94
  6. Step 6: Final answer
    x = 34,620.42

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.