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Finding the Third Proportional to 17,512 and 25,692

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Solution

The third proportional to 17,512 and 25,692 is: 37,692.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,512 : 25,692 = 25,692 : x
  2. Step 2: Convert to fraction form
    17,512/25,692 = 25,692/x
  3. Step 3: Cross multiply
    17,512x = 25,692 × 25,692
  4. Step 4: Simplify right side
    17,512x = 660,078,864
  5. Step 5: Solve for x
    x = 660,078,864/17,512
  6. Step 6: Final answer
    x = 37,692.95

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.