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Finding the Third Proportional to 11,982.94 and 26,128.67

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Solution

The third proportional to 11,982.94 and 26,128.67 is: 56,973.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,982.94 : 26,128.67 = 26,128.67 : x
  2. Step 2: Convert to fraction form
    11,982.94/26,128.67 = 26,128.67/x
  3. Step 3: Cross multiply
    11,982.94x = 26,128.67 × 26,128.67
  4. Step 4: Simplify right side
    11,982.94x = 682,707,391.89
  5. Step 5: Solve for x
    x = 682,707,391.89/11,982.94
  6. Step 6: Final answer
    x = 56,973.29

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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.