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Finding the Third Proportional to 6,791.34 and 14,321.81

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Solution

The third proportional to 6,791.34 and 14,321.81 is: 30,202.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,791.34 : 14,321.81 = 14,321.81 : x
  2. Step 2: Convert to fraction form
    6,791.34/14,321.81 = 14,321.81/x
  3. Step 3: Cross multiply
    6,791.34x = 14,321.81 × 14,321.81
  4. Step 4: Simplify right side
    6,791.34x = 205,114,313.29
  5. Step 5: Solve for x
    x = 205,114,313.29/6,791.34
  6. Step 6: Final answer
    x = 30,202.32

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.