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Finding the Third Proportional to 4,692.80 and 7,025.27

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Solution

The third proportional to 4,692.80 and 7,025.27 is: 10,517.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,692.80 : 7,025.27 = 7,025.27 : x
  2. Step 2: Convert to fraction form
    4,692.80/7,025.27 = 7,025.27/x
  3. Step 3: Cross multiply
    4,692.80x = 7,025.27 × 7,025.27
  4. Step 4: Simplify right side
    4,692.80x = 49,354,466.87
  5. Step 5: Solve for x
    x = 49,354,466.87/4,692.80
  6. Step 6: Final answer
    x = 10,517.07

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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.