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Finding the Third Proportional to 3,830.91 and 8,048.81

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Solution

The third proportional to 3,830.91 and 8,048.81 is: 16,910.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.91 : 8,048.81 = 8,048.81 : x
  2. Step 2: Convert to fraction form
    3,830.91/8,048.81 = 8,048.81/x
  3. Step 3: Cross multiply
    3,830.91x = 8,048.81 × 8,048.81
  4. Step 4: Simplify right side
    3,830.91x = 64,783,382.66
  5. Step 5: Solve for x
    x = 64,783,382.66/3,830.91
  6. Step 6: Final answer
    x = 16,910.72

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.