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Finding the Third Proportional to 11,451 and 25,188

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Solution

The third proportional to 11,451 and 25,188 is: 55,404.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,451 : 25,188 = 25,188 : x
  2. Step 2: Convert to fraction form
    11,451/25,188 = 25,188/x
  3. Step 3: Cross multiply
    11,451x = 25,188 × 25,188
  4. Step 4: Simplify right side
    11,451x = 634,435,344
  5. Step 5: Solve for x
    x = 634,435,344/11,451
  6. Step 6: Final answer
    x = 55,404.36

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.