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Finding the Third Proportional to 6,166.13 and 14,359.78

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Solution

The third proportional to 6,166.13 and 14,359.78 is: 33,441.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,166.13 : 14,359.78 = 14,359.78 : x
  2. Step 2: Convert to fraction form
    6,166.13/14,359.78 = 14,359.78/x
  3. Step 3: Cross multiply
    6,166.13x = 14,359.78 × 14,359.78
  4. Step 4: Simplify right side
    6,166.13x = 206,203,317.55
  5. Step 5: Solve for x
    x = 206,203,317.55/6,166.13
  6. Step 6: Final answer
    x = 33,441.31

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.