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Finding the Third Proportional to 11,922.94 and 17,518.69

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Solution

The third proportional to 11,922.94 and 17,518.69 is: 25,740.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,922.94 : 17,518.69 = 17,518.69 : x
  2. Step 2: Convert to fraction form
    11,922.94/17,518.69 = 17,518.69/x
  3. Step 3: Cross multiply
    11,922.94x = 17,518.69 × 17,518.69
  4. Step 4: Simplify right side
    11,922.94x = 306,904,411.72
  5. Step 5: Solve for x
    x = 306,904,411.72/11,922.94
  6. Step 6: Final answer
    x = 25,740.67

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.