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Finding the Third Proportional to 18,227 and 38,429

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Solution

The third proportional to 18,227 and 38,429 is: 81,022.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,227 : 38,429 = 38,429 : x
  2. Step 2: Convert to fraction form
    18,227/38,429 = 38,429/x
  3. Step 3: Cross multiply
    18,227x = 38,429 × 38,429
  4. Step 4: Simplify right side
    18,227x = 1,476,788,041
  5. Step 5: Solve for x
    x = 1,476,788,041/18,227
  6. Step 6: Final answer
    x = 81,022.00

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.