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Finding the Third Proportional to 18,562 and 38,654

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Solution

The third proportional to 18,562 and 38,654 is: 80,494.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,562 : 38,654 = 38,654 : x
  2. Step 2: Convert to fraction form
    18,562/38,654 = 38,654/x
  3. Step 3: Cross multiply
    18,562x = 38,654 × 38,654
  4. Step 4: Simplify right side
    18,562x = 1,494,131,716
  5. Step 5: Solve for x
    x = 1,494,131,716/18,562
  6. Step 6: Final answer
    x = 80,494.11

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.