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Finding the Third Proportional to 24,992 and 54,496

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Solution

The third proportional to 24,992 and 54,496 is: 118,830.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,992 : 54,496 = 54,496 : x
  2. Step 2: Convert to fraction form
    24,992/54,496 = 54,496/x
  3. Step 3: Cross multiply
    24,992x = 54,496 × 54,496
  4. Step 4: Simplify right side
    24,992x = 2,969,814,016
  5. Step 5: Solve for x
    x = 2,969,814,016/24,992
  6. Step 6: Final answer
    x = 118,830.59

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.