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Finding the Third Proportional to 11,505 and 23,493.75

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Solution

The third proportional to 11,505 and 23,493.75 is: 47,975.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,505 : 23,493.75 = 23,493.75 : x
  2. Step 2: Convert to fraction form
    11,505/23,493.75 = 23,493.75/x
  3. Step 3: Cross multiply
    11,505x = 23,493.75 × 23,493.75
  4. Step 4: Simplify right side
    11,505x = 551,956,289.06
  5. Step 5: Solve for x
    x = 551,956,289.06/11,505
  6. Step 6: Final answer
    x = 47,975.34

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.