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Finding the Third Proportional to 11,074 and 16,610.75

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Solution

The third proportional to 11,074 and 16,610.75 is: 24,915.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,074 : 16,610.75 = 16,610.75 : x
  2. Step 2: Convert to fraction form
    11,074/16,610.75 = 16,610.75/x
  3. Step 3: Cross multiply
    11,074x = 16,610.75 × 16,610.75
  4. Step 4: Simplify right side
    11,074x = 275,917,015.56
  5. Step 5: Solve for x
    x = 275,917,015.56/11,074
  6. Step 6: Final answer
    x = 24,915.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.