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Finding the Third Proportional to 16,866 and 25,683

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Solution

The third proportional to 16,866 and 25,683 is: 39,109.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,866 : 25,683 = 25,683 : x
  2. Step 2: Convert to fraction form
    16,866/25,683 = 25,683/x
  3. Step 3: Cross multiply
    16,866x = 25,683 × 25,683
  4. Step 4: Simplify right side
    16,866x = 659,616,489
  5. Step 5: Solve for x
    x = 659,616,489/16,866
  6. Step 6: Final answer
    x = 39,109.24

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.