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Finding the Third Proportional to 12,675 and 19,019

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Solution

The third proportional to 12,675 and 19,019 is: 28,538.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,675 : 19,019 = 19,019 : x
  2. Step 2: Convert to fraction form
    12,675/19,019 = 19,019/x
  3. Step 3: Cross multiply
    12,675x = 19,019 × 19,019
  4. Step 4: Simplify right side
    12,675x = 361,722,361
  5. Step 5: Solve for x
    x = 361,722,361/12,675
  6. Step 6: Final answer
    x = 28,538.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.