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Finding the Third Proportional to 6,382.13 and 8,692.31

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Solution

The third proportional to 6,382.13 and 8,692.31 is: 11,838.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,382.13 : 8,692.31 = 8,692.31 : x
  2. Step 2: Convert to fraction form
    6,382.13/8,692.31 = 8,692.31/x
  3. Step 3: Cross multiply
    6,382.13x = 8,692.31 × 8,692.31
  4. Step 4: Simplify right side
    6,382.13x = 75,556,296.60
  5. Step 5: Solve for x
    x = 75,556,296.60/6,382.13
  6. Step 6: Final answer
    x = 11,838.74

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.