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Finding the Third Proportional to 11,493 and 16,265.25

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Solution

The third proportional to 11,493 and 16,265.25 is: 23,019.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,493 : 16,265.25 = 16,265.25 : x
  2. Step 2: Convert to fraction form
    11,493/16,265.25 = 16,265.25/x
  3. Step 3: Cross multiply
    11,493x = 16,265.25 × 16,265.25
  4. Step 4: Simplify right side
    11,493x = 264,558,357.56
  5. Step 5: Solve for x
    x = 264,558,357.56/11,493
  6. Step 6: Final answer
    x = 23,019.09

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.