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Finding the Third Proportional to 11,239.50 and 16,191

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Solution

The third proportional to 11,239.50 and 16,191 is: 23,323.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,239.50 : 16,191 = 16,191 : x
  2. Step 2: Convert to fraction form
    11,239.50/16,191 = 16,191/x
  3. Step 3: Cross multiply
    11,239.50x = 16,191 × 16,191
  4. Step 4: Simplify right side
    11,239.50x = 262,148,481
  5. Step 5: Solve for x
    x = 262,148,481/11,239.50
  6. Step 6: Final answer
    x = 23,323.86

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.