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Finding the Third Proportional to 23,981 and 52,144

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Solution

The third proportional to 23,981 and 52,144 is: 113,381.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,981 : 52,144 = 52,144 : x
  2. Step 2: Convert to fraction form
    23,981/52,144 = 52,144/x
  3. Step 3: Cross multiply
    23,981x = 52,144 × 52,144
  4. Step 4: Simplify right side
    23,981x = 2,718,996,736
  5. Step 5: Solve for x
    x = 2,718,996,736/23,981
  6. Step 6: Final answer
    x = 113,381.29

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.