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Finding the Third Proportional to 4,692.94 and 5,414.34

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Solution

The third proportional to 4,692.94 and 5,414.34 is: 6,246.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,692.94 : 5,414.34 = 5,414.34 : x
  2. Step 2: Convert to fraction form
    4,692.94/5,414.34 = 5,414.34/x
  3. Step 3: Cross multiply
    4,692.94x = 5,414.34 × 5,414.34
  4. Step 4: Simplify right side
    4,692.94x = 29,315,118.24
  5. Step 5: Solve for x
    x = 29,315,118.24/4,692.94
  6. Step 6: Final answer
    x = 6,246.65

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.