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Finding the Third Proportional to 16,684 and 24,774

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Solution

The third proportional to 16,684 and 24,774 is: 36,786.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,684 : 24,774 = 24,774 : x
  2. Step 2: Convert to fraction form
    16,684/24,774 = 24,774/x
  3. Step 3: Cross multiply
    16,684x = 24,774 × 24,774
  4. Step 4: Simplify right side
    16,684x = 613,751,076
  5. Step 5: Solve for x
    x = 613,751,076/16,684
  6. Step 6: Final answer
    x = 36,786.81

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.