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Finding the Third Proportional to 7,692.47 and 16,896.09

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Solution

The third proportional to 7,692.47 and 16,896.09 is: 37,111.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692.47 : 16,896.09 = 16,896.09 : x
  2. Step 2: Convert to fraction form
    7,692.47/16,896.09 = 16,896.09/x
  3. Step 3: Cross multiply
    7,692.47x = 16,896.09 × 16,896.09
  4. Step 4: Simplify right side
    7,692.47x = 285,477,984.01
  5. Step 5: Solve for x
    x = 285,477,984.01/7,692.47
  6. Step 6: Final answer
    x = 37,111.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.