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Finding the Third Proportional to 11,160.75 and 16,885

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Solution

The third proportional to 11,160.75 and 16,885 is: 25,545.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,160.75 : 16,885 = 16,885 : x
  2. Step 2: Convert to fraction form
    11,160.75/16,885 = 16,885/x
  3. Step 3: Cross multiply
    11,160.75x = 16,885 × 16,885
  4. Step 4: Simplify right side
    11,160.75x = 285,103,225
  5. Step 5: Solve for x
    x = 285,103,225/11,160.75
  6. Step 6: Final answer
    x = 25,545.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.