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Finding the Third Proportional to 16,974.94 and 24,942.38

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Solution

The third proportional to 16,974.94 and 24,942.38 is: 36,649.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,974.94 : 24,942.38 = 24,942.38 : x
  2. Step 2: Convert to fraction form
    16,974.94/24,942.38 = 24,942.38/x
  3. Step 3: Cross multiply
    16,974.94x = 24,942.38 × 24,942.38
  4. Step 4: Simplify right side
    16,974.94x = 622,122,070.64
  5. Step 5: Solve for x
    x = 622,122,070.64/16,974.94
  6. Step 6: Final answer
    x = 36,649.45

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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.