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Finding the Third Proportional to 23,751 and 51,914.25

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Solution

The third proportional to 23,751 and 51,914.25 is: 113,472.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,751 : 51,914.25 = 51,914.25 : x
  2. Step 2: Convert to fraction form
    23,751/51,914.25 = 51,914.25/x
  3. Step 3: Cross multiply
    23,751x = 51,914.25 × 51,914.25
  4. Step 4: Simplify right side
    23,751x = 2,695,089,353.06
  5. Step 5: Solve for x
    x = 2,695,089,353.06/23,751
  6. Step 6: Final answer
    x = 113,472.67

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.