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Finding the Third Proportional to 16,450 and 24,647

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Solution

The third proportional to 16,450 and 24,647 is: 36,928.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,450 : 24,647 = 24,647 : x
  2. Step 2: Convert to fraction form
    16,450/24,647 = 24,647/x
  3. Step 3: Cross multiply
    16,450x = 24,647 × 24,647
  4. Step 4: Simplify right side
    16,450x = 607,474,609
  5. Step 5: Solve for x
    x = 607,474,609/16,450
  6. Step 6: Final answer
    x = 36,928.55

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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.