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Finding the Third Proportional to 18,824 and 40,144

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Solution

The third proportional to 18,824 and 40,144 is: 85,610.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,824 : 40,144 = 40,144 : x
  2. Step 2: Convert to fraction form
    18,824/40,144 = 40,144/x
  3. Step 3: Cross multiply
    18,824x = 40,144 × 40,144
  4. Step 4: Simplify right side
    18,824x = 1,611,540,736
  5. Step 5: Solve for x
    x = 1,611,540,736/18,824
  6. Step 6: Final answer
    x = 85,610.96

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.