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Finding the Third Proportional to 3,000.94 and 6,976.69

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Solution

The third proportional to 3,000.94 and 6,976.69 is: 16,219.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000.94 : 6,976.69 = 6,976.69 : x
  2. Step 2: Convert to fraction form
    3,000.94/6,976.69 = 6,976.69/x
  3. Step 3: Cross multiply
    3,000.94x = 6,976.69 × 6,976.69
  4. Step 4: Simplify right side
    3,000.94x = 48,674,168.47
  5. Step 5: Solve for x
    x = 48,674,168.47/3,000.94
  6. Step 6: Final answer
    x = 16,219.65

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.