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Finding the Third Proportional to 16,450 and 25,683

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Solution

The third proportional to 16,450 and 25,683 is: 40,098.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,450 : 25,683 = 25,683 : x
  2. Step 2: Convert to fraction form
    16,450/25,683 = 25,683/x
  3. Step 3: Cross multiply
    16,450x = 25,683 × 25,683
  4. Step 4: Simplify right side
    16,450x = 659,616,489
  5. Step 5: Solve for x
    x = 659,616,489/16,450
  6. Step 6: Final answer
    x = 40,098.27

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.