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Finding the Third Proportional to 18,054 and 38,079

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Solution

The third proportional to 18,054 and 38,079 is: 80,315.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,054 : 38,079 = 38,079 : x
  2. Step 2: Convert to fraction form
    18,054/38,079 = 38,079/x
  3. Step 3: Cross multiply
    18,054x = 38,079 × 38,079
  4. Step 4: Simplify right side
    18,054x = 1,450,010,241
  5. Step 5: Solve for x
    x = 1,450,010,241/18,054
  6. Step 6: Final answer
    x = 80,315.18

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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.