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Finding the Third Proportional to 8,333.81 and 12,171.56

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Solution

The third proportional to 8,333.81 and 12,171.56 is: 17,776.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,333.81 : 12,171.56 = 12,171.56 : x
  2. Step 2: Convert to fraction form
    8,333.81/12,171.56 = 12,171.56/x
  3. Step 3: Cross multiply
    8,333.81x = 12,171.56 × 12,171.56
  4. Step 4: Simplify right side
    8,333.81x = 148,146,933.69
  5. Step 5: Solve for x
    x = 148,146,933.69/8,333.81
  6. Step 6: Final answer
    x = 17,776.61

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.