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Finding the Third Proportional to 11,308.75 and 16,232.38

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Solution

The third proportional to 11,308.75 and 16,232.38 is: 23,299.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,308.75 : 16,232.38 = 16,232.38 : x
  2. Step 2: Convert to fraction form
    11,308.75/16,232.38 = 16,232.38/x
  3. Step 3: Cross multiply
    11,308.75x = 16,232.38 × 16,232.38
  4. Step 4: Simplify right side
    11,308.75x = 263,489,998.14
  5. Step 5: Solve for x
    x = 263,489,998.14/11,308.75
  6. Step 6: Final answer
    x = 23,299.66

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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.