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Finding the Third Proportional to 4,650.94 and 6,986.91

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Solution

The third proportional to 4,650.94 and 6,986.91 is: 10,496.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,650.94 : 6,986.91 = 6,986.91 : x
  2. Step 2: Convert to fraction form
    4,650.94/6,986.91 = 6,986.91/x
  3. Step 3: Cross multiply
    4,650.94x = 6,986.91 × 6,986.91
  4. Step 4: Simplify right side
    4,650.94x = 48,816,858.95
  5. Step 5: Solve for x
    x = 48,816,858.95/4,650.94
  6. Step 6: Final answer
    x = 10,496.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.