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Finding the Third Proportional to 16,012.69 and 24,234.19

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Solution

The third proportional to 16,012.69 and 24,234.19 is: 36,676.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,012.69 : 24,234.19 = 24,234.19 : x
  2. Step 2: Convert to fraction form
    16,012.69/24,234.19 = 24,234.19/x
  3. Step 3: Cross multiply
    16,012.69x = 24,234.19 × 24,234.19
  4. Step 4: Simplify right side
    16,012.69x = 587,295,843.79
  5. Step 5: Solve for x
    x = 587,295,843.79/16,012.69
  6. Step 6: Final answer
    x = 36,676.91

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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.