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Finding the Third Proportional to 3,467.74 and 4,906.78

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Solution

The third proportional to 3,467.74 and 4,906.78 is: 6,942.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467.74 : 4,906.78 = 4,906.78 : x
  2. Step 2: Convert to fraction form
    3,467.74/4,906.78 = 4,906.78/x
  3. Step 3: Cross multiply
    3,467.74x = 4,906.78 × 4,906.78
  4. Step 4: Simplify right side
    3,467.74x = 24,076,502.24
  5. Step 5: Solve for x
    x = 24,076,502.24/3,467.74
  6. Step 6: Final answer
    x = 6,942.99

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.