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Finding the Third Proportional to 4,692.94 and 6,879.94

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Solution

The third proportional to 4,692.94 and 6,879.94 is: 10,086.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,692.94 : 6,879.94 = 6,879.94 : x
  2. Step 2: Convert to fraction form
    4,692.94/6,879.94 = 6,879.94/x
  3. Step 3: Cross multiply
    4,692.94x = 6,879.94 × 6,879.94
  4. Step 4: Simplify right side
    4,692.94x = 47,333,540.00
  5. Step 5: Solve for x
    x = 47,333,540.00/4,692.94
  6. Step 6: Final answer
    x = 10,086.12

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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.