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Finding the Third Proportional to 8,021.85 and 12,096.84

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Solution

The third proportional to 8,021.85 and 12,096.84 is: 18,241.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,021.85 : 12,096.84 = 12,096.84 : x
  2. Step 2: Convert to fraction form
    8,021.85/12,096.84 = 12,096.84/x
  3. Step 3: Cross multiply
    8,021.85x = 12,096.84 × 12,096.84
  4. Step 4: Simplify right side
    8,021.85x = 146,333,628.71
  5. Step 5: Solve for x
    x = 146,333,628.71/8,021.85
  6. Step 6: Final answer
    x = 18,241.89

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.