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Finding the Third Proportional to 6,462 and 13,692.38

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Solution

The third proportional to 6,462 and 13,692.38 is: 29,012.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,462 : 13,692.38 = 13,692.38 : x
  2. Step 2: Convert to fraction form
    6,462/13,692.38 = 13,692.38/x
  3. Step 3: Cross multiply
    6,462x = 13,692.38 × 13,692.38
  4. Step 4: Simplify right side
    6,462x = 187,481,133.14
  5. Step 5: Solve for x
    x = 187,481,133.14/6,462
  6. Step 6: Final answer
    x = 29,012.86

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.