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Finding the Third Proportional to 4,166.25 and 4,692.75

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Solution

The third proportional to 4,166.25 and 4,692.75 is: 5,285.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,166.25 : 4,692.75 = 4,692.75 : x
  2. Step 2: Convert to fraction form
    4,166.25/4,692.75 = 4,692.75/x
  3. Step 3: Cross multiply
    4,166.25x = 4,692.75 × 4,692.75
  4. Step 4: Simplify right side
    4,166.25x = 22,021,902.56
  5. Step 5: Solve for x
    x = 22,021,902.56/4,166.25
  6. Step 6: Final answer
    x = 5,285.79

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.