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Finding the Third Proportional to 4,194.28 and 8,692.31

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Solution

The third proportional to 4,194.28 and 8,692.31 is: 18,014.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,194.28 : 8,692.31 = 8,692.31 : x
  2. Step 2: Convert to fraction form
    4,194.28/8,692.31 = 8,692.31/x
  3. Step 3: Cross multiply
    4,194.28x = 8,692.31 × 8,692.31
  4. Step 4: Simplify right side
    4,194.28x = 75,556,296.60
  5. Step 5: Solve for x
    x = 75,556,296.60/4,194.28
  6. Step 6: Final answer
    x = 18,014.12

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.