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Finding the Third Proportional to 11,820.94 and 25,084.69

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Solution

The third proportional to 11,820.94 and 25,084.69 is: 53,231.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,820.94 : 25,084.69 = 25,084.69 : x
  2. Step 2: Convert to fraction form
    11,820.94/25,084.69 = 25,084.69/x
  3. Step 3: Cross multiply
    11,820.94x = 25,084.69 × 25,084.69
  4. Step 4: Simplify right side
    11,820.94x = 629,241,546.97
  5. Step 5: Solve for x
    x = 629,241,546.97/11,820.94
  6. Step 6: Final answer
    x = 53,231.10

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.