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Finding the Third Proportional to 23,104 and 28,992

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Solution

The third proportional to 23,104 and 28,992 is: 36,380.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,104 : 28,992 = 28,992 : x
  2. Step 2: Convert to fraction form
    23,104/28,992 = 28,992/x
  3. Step 3: Cross multiply
    23,104x = 28,992 × 28,992
  4. Step 4: Simplify right side
    23,104x = 840,536,064
  5. Step 5: Solve for x
    x = 840,536,064/23,104
  6. Step 6: Final answer
    x = 36,380.54

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These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.