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Finding the Third Proportional to 8,096.63 and 12,146.63

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Solution

The third proportional to 8,096.63 and 12,146.63 is: 18,222.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,096.63 : 12,146.63 = 12,146.63 : x
  2. Step 2: Convert to fraction form
    8,096.63/12,146.63 = 12,146.63/x
  3. Step 3: Cross multiply
    8,096.63x = 12,146.63 × 12,146.63
  4. Step 4: Simplify right side
    8,096.63x = 147,540,498.89
  5. Step 5: Solve for x
    x = 147,540,498.89/8,096.63
  6. Step 6: Final answer
    x = 18,222.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.