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Finding the Third Proportional to 25,992 and 57,280

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Solution

The third proportional to 25,992 and 57,280 is: 126,231.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,992 : 57,280 = 57,280 : x
  2. Step 2: Convert to fraction form
    25,992/57,280 = 57,280/x
  3. Step 3: Cross multiply
    25,992x = 57,280 × 57,280
  4. Step 4: Simplify right side
    25,992x = 3,280,998,400
  5. Step 5: Solve for x
    x = 3,280,998,400/25,992
  6. Step 6: Final answer
    x = 126,231.09

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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.