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Finding the Third Proportional to 11,167 and 16,894.50

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Solution

The third proportional to 11,167 and 16,894.50 is: 25,559.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,167 : 16,894.50 = 16,894.50 : x
  2. Step 2: Convert to fraction form
    11,167/16,894.50 = 16,894.50/x
  3. Step 3: Cross multiply
    11,167x = 16,894.50 × 16,894.50
  4. Step 4: Simplify right side
    11,167x = 285,424,130.25
  5. Step 5: Solve for x
    x = 285,424,130.25/11,167
  6. Step 6: Final answer
    x = 25,559.61

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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.