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Finding the Third Proportional to 12,675 and 16,821

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Solution

The third proportional to 12,675 and 16,821 is: 22,323.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,675 : 16,821 = 16,821 : x
  2. Step 2: Convert to fraction form
    12,675/16,821 = 16,821/x
  3. Step 3: Cross multiply
    12,675x = 16,821 × 16,821
  4. Step 4: Simplify right side
    12,675x = 282,946,041
  5. Step 5: Solve for x
    x = 282,946,041/12,675
  6. Step 6: Final answer
    x = 22,323.16

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.