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Finding the Third Proportional to 11,982.94 and 25,503.61

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Solution

The third proportional to 11,982.94 and 25,503.61 is: 54,280.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,982.94 : 25,503.61 = 25,503.61 : x
  2. Step 2: Convert to fraction form
    11,982.94/25,503.61 = 25,503.61/x
  3. Step 3: Cross multiply
    11,982.94x = 25,503.61 × 25,503.61
  4. Step 4: Simplify right side
    11,982.94x = 650,434,091.15
  5. Step 5: Solve for x
    x = 650,434,091.15/11,982.94
  6. Step 6: Final answer
    x = 54,280.02

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.