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Finding the Third Proportional to 13,861.13 and 32,749.31

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Solution

The third proportional to 13,861.13 and 32,749.31 is: 77,375.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,861.13 : 32,749.31 = 32,749.31 : x
  2. Step 2: Convert to fraction form
    13,861.13/32,749.31 = 32,749.31/x
  3. Step 3: Cross multiply
    13,861.13x = 32,749.31 × 32,749.31
  4. Step 4: Simplify right side
    13,861.13x = 1,072,517,469.22
  5. Step 5: Solve for x
    x = 1,072,517,469.22/13,861.13
  6. Step 6: Final answer
    x = 77,375.93

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.