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Finding the Third Proportional to 11,793.09 and 17,203.64

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Solution

The third proportional to 11,793.09 and 17,203.64 is: 25,096.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,793.09 : 17,203.64 = 17,203.64 : x
  2. Step 2: Convert to fraction form
    11,793.09/17,203.64 = 17,203.64/x
  3. Step 3: Cross multiply
    11,793.09x = 17,203.64 × 17,203.64
  4. Step 4: Simplify right side
    11,793.09x = 295,965,250.75
  5. Step 5: Solve for x
    x = 295,965,250.75/11,793.09
  6. Step 6: Final answer
    x = 25,096.49

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.