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Finding the Third Proportional to 11,736.75 and 25,142.75

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Solution

The third proportional to 11,736.75 and 25,142.75 is: 53,861.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,736.75 : 25,142.75 = 25,142.75 : x
  2. Step 2: Convert to fraction form
    11,736.75/25,142.75 = 25,142.75/x
  3. Step 3: Cross multiply
    11,736.75x = 25,142.75 × 25,142.75
  4. Step 4: Simplify right side
    11,736.75x = 632,157,877.56
  5. Step 5: Solve for x
    x = 632,157,877.56/11,736.75
  6. Step 6: Final answer
    x = 53,861.41

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.