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Finding the Third Proportional to 11,793.57 and 17,261.07

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Solution

The third proportional to 11,793.57 and 17,261.07 is: 25,263.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,793.57 : 17,261.07 = 17,261.07 : x
  2. Step 2: Convert to fraction form
    11,793.57/17,261.07 = 17,261.07/x
  3. Step 3: Cross multiply
    11,793.57x = 17,261.07 × 17,261.07
  4. Step 4: Simplify right side
    11,793.57x = 297,944,480.91
  5. Step 5: Solve for x
    x = 297,944,480.91/11,793.57
  6. Step 6: Final answer
    x = 25,263.30

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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.