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Finding the Third Proportional to 10,806.75 and 13,692.38

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Solution

The third proportional to 10,806.75 and 13,692.38 is: 17,348.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,806.75 : 13,692.38 = 13,692.38 : x
  2. Step 2: Convert to fraction form
    10,806.75/13,692.38 = 13,692.38/x
  3. Step 3: Cross multiply
    10,806.75x = 13,692.38 × 13,692.38
  4. Step 4: Simplify right side
    10,806.75x = 187,481,133.14
  5. Step 5: Solve for x
    x = 187,481,133.14/10,806.75
  6. Step 6: Final answer
    x = 17,348.52

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These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.