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Finding the Third Proportional to 14,131.13 and 33,937.31

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Solution

The third proportional to 14,131.13 and 33,937.31 is: 81,503.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,131.13 : 33,937.31 = 33,937.31 : x
  2. Step 2: Convert to fraction form
    14,131.13/33,937.31 = 33,937.31/x
  3. Step 3: Cross multiply
    14,131.13x = 33,937.31 × 33,937.31
  4. Step 4: Simplify right side
    14,131.13x = 1,151,741,179.72
  5. Step 5: Solve for x
    x = 1,151,741,179.72/14,131.13
  6. Step 6: Final answer
    x = 81,503.86

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These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.