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Finding the Third Proportional to 12,286 and 18,975

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Solution

The third proportional to 12,286 and 18,975 is: 29,305.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,286 : 18,975 = 18,975 : x
  2. Step 2: Convert to fraction form
    12,286/18,975 = 18,975/x
  3. Step 3: Cross multiply
    12,286x = 18,975 × 18,975
  4. Step 4: Simplify right side
    12,286x = 360,050,625
  5. Step 5: Solve for x
    x = 360,050,625/12,286
  6. Step 6: Final answer
    x = 29,305.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.