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Finding the Third Proportional to 8,049.38 and 12,990.38

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Solution

The third proportional to 8,049.38 and 12,990.38 is: 20,964.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,049.38 : 12,990.38 = 12,990.38 : x
  2. Step 2: Convert to fraction form
    8,049.38/12,990.38 = 12,990.38/x
  3. Step 3: Cross multiply
    8,049.38x = 12,990.38 × 12,990.38
  4. Step 4: Simplify right side
    8,049.38x = 168,749,842.64
  5. Step 5: Solve for x
    x = 168,749,842.64/8,049.38
  6. Step 6: Final answer
    x = 20,964.34

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.