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Finding the Third Proportional to 11,496.75 and 17,859.75

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Solution

The third proportional to 11,496.75 and 17,859.75 is: 27,744.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,496.75 : 17,859.75 = 17,859.75 : x
  2. Step 2: Convert to fraction form
    11,496.75/17,859.75 = 17,859.75/x
  3. Step 3: Cross multiply
    11,496.75x = 17,859.75 × 17,859.75
  4. Step 4: Simplify right side
    11,496.75x = 318,970,670.06
  5. Step 5: Solve for x
    x = 318,970,670.06/11,496.75
  6. Step 6: Final answer
    x = 27,744.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.