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Finding the Third Proportional to 16,975.69 and 24,942.94

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Solution

The third proportional to 16,975.69 and 24,942.94 is: 36,649.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,975.69 : 24,942.94 = 24,942.94 : x
  2. Step 2: Convert to fraction form
    16,975.69/24,942.94 = 24,942.94/x
  3. Step 3: Cross multiply
    16,975.69x = 24,942.94 × 24,942.94
  4. Step 4: Simplify right side
    16,975.69x = 622,150,131.13
  5. Step 5: Solve for x
    x = 622,150,131.13/16,975.69
  6. Step 6: Final answer
    x = 36,649.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.