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Finding the Third Proportional to 11,517.75 and 16,446.38

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Solution

The third proportional to 11,517.75 and 16,446.38 is: 23,484.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,517.75 : 16,446.38 = 16,446.38 : x
  2. Step 2: Convert to fraction form
    11,517.75/16,446.38 = 16,446.38/x
  3. Step 3: Cross multiply
    11,517.75x = 16,446.38 × 16,446.38
  4. Step 4: Simplify right side
    11,517.75x = 270,483,250.64
  5. Step 5: Solve for x
    x = 270,483,250.64/11,517.75
  6. Step 6: Final answer
    x = 23,484.04

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.