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Finding the Third Proportional to 4,351.94 and 8,934.31

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Solution

The third proportional to 4,351.94 and 8,934.31 is: 18,341.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,351.94 : 8,934.31 = 8,934.31 : x
  2. Step 2: Convert to fraction form
    4,351.94/8,934.31 = 8,934.31/x
  3. Step 3: Cross multiply
    4,351.94x = 8,934.31 × 8,934.31
  4. Step 4: Simplify right side
    4,351.94x = 79,821,939.85
  5. Step 5: Solve for x
    x = 79,821,939.85/4,351.94
  6. Step 6: Final answer
    x = 18,341.70

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.