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Finding the Third Proportional to 9,104 and 12,884

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Solution

The third proportional to 9,104 and 12,884 is: 18,233.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,104 : 12,884 = 12,884 : x
  2. Step 2: Convert to fraction form
    9,104/12,884 = 12,884/x
  3. Step 3: Cross multiply
    9,104x = 12,884 × 12,884
  4. Step 4: Simplify right side
    9,104x = 165,997,456
  5. Step 5: Solve for x
    x = 165,997,456/9,104
  6. Step 6: Final answer
    x = 18,233.46

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.