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Finding the Third Proportional to 12,987 and 19,860.75

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Solution

The third proportional to 12,987 and 19,860.75 is: 30,372.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,987 : 19,860.75 = 19,860.75 : x
  2. Step 2: Convert to fraction form
    12,987/19,860.75 = 19,860.75/x
  3. Step 3: Cross multiply
    12,987x = 19,860.75 × 19,860.75
  4. Step 4: Simplify right side
    12,987x = 394,449,390.56
  5. Step 5: Solve for x
    x = 394,449,390.56/12,987
  6. Step 6: Final answer
    x = 30,372.63

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.