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Finding the Third Proportional to 11,574.84 and 24,906.09

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Solution

The third proportional to 11,574.84 and 24,906.09 is: 53,591.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,574.84 : 24,906.09 = 24,906.09 : x
  2. Step 2: Convert to fraction form
    11,574.84/24,906.09 = 24,906.09/x
  3. Step 3: Cross multiply
    11,574.84x = 24,906.09 × 24,906.09
  4. Step 4: Simplify right side
    11,574.84x = 620,313,505.88
  5. Step 5: Solve for x
    x = 620,313,505.88/11,574.84
  6. Step 6: Final answer
    x = 53,591.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.