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Finding the Third Proportional to 18,121 and 38,420

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Solution

The third proportional to 18,121 and 38,420 is: 81,457.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,121 : 38,420 = 38,420 : x
  2. Step 2: Convert to fraction form
    18,121/38,420 = 38,420/x
  3. Step 3: Cross multiply
    18,121x = 38,420 × 38,420
  4. Step 4: Simplify right side
    18,121x = 1,476,096,400
  5. Step 5: Solve for x
    x = 1,476,096,400/18,121
  6. Step 6: Final answer
    x = 81,457.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.