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Finding the Third Proportional to 11,922.19 and 17,517.94

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Solution

The third proportional to 11,922.19 and 17,517.94 is: 25,740.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,922.19 : 17,517.94 = 17,517.94 : x
  2. Step 2: Convert to fraction form
    11,922.19/17,517.94 = 17,517.94/x
  3. Step 3: Cross multiply
    11,922.19x = 17,517.94 × 17,517.94
  4. Step 4: Simplify right side
    11,922.19x = 306,878,134.25
  5. Step 5: Solve for x
    x = 306,878,134.25/11,922.19
  6. Step 6: Final answer
    x = 25,740.09

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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.