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Finding the Third Proportional to 11,949.75 and 16,233.75

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Solution

The third proportional to 11,949.75 and 16,233.75 is: 22,053.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,949.75 : 16,233.75 = 16,233.75 : x
  2. Step 2: Convert to fraction form
    11,949.75/16,233.75 = 16,233.75/x
  3. Step 3: Cross multiply
    11,949.75x = 16,233.75 × 16,233.75
  4. Step 4: Simplify right side
    11,949.75x = 263,534,639.06
  5. Step 5: Solve for x
    x = 263,534,639.06/11,949.75
  6. Step 6: Final answer
    x = 22,053.57

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.