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Finding the Third Proportional to 3,801.86 and 8,344.11

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Solution

The third proportional to 3,801.86 and 8,344.11 is: 18,313.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801.86 : 8,344.11 = 8,344.11 : x
  2. Step 2: Convert to fraction form
    3,801.86/8,344.11 = 8,344.11/x
  3. Step 3: Cross multiply
    3,801.86x = 8,344.11 × 8,344.11
  4. Step 4: Simplify right side
    3,801.86x = 69,624,128.67
  5. Step 5: Solve for x
    x = 69,624,128.67/3,801.86
  6. Step 6: Final answer
    x = 18,313.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.