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Finding the Third Proportional to 18,227.75 and 39,749.50

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Solution

The third proportional to 18,227.75 and 39,749.50 is: 86,682.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,227.75 : 39,749.50 = 39,749.50 : x
  2. Step 2: Convert to fraction form
    18,227.75/39,749.50 = 39,749.50/x
  3. Step 3: Cross multiply
    18,227.75x = 39,749.50 × 39,749.50
  4. Step 4: Simplify right side
    18,227.75x = 1,580,022,750.25
  5. Step 5: Solve for x
    x = 1,580,022,750.25/18,227.75
  6. Step 6: Final answer
    x = 86,682.27

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.