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Finding the Third Proportional to 2,692.24 and 4,022.14

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Solution

The third proportional to 2,692.24 and 4,022.14 is: 6,008.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692.24 : 4,022.14 = 4,022.14 : x
  2. Step 2: Convert to fraction form
    2,692.24/4,022.14 = 4,022.14/x
  3. Step 3: Cross multiply
    2,692.24x = 4,022.14 × 4,022.14
  4. Step 4: Simplify right side
    2,692.24x = 16,177,581.82
  5. Step 5: Solve for x
    x = 16,177,581.82/2,692.24
  6. Step 6: Final answer
    x = 6,008.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.