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Finding the Third Proportional to 18,094 and 38,132

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Solution

The third proportional to 18,094 and 38,132 is: 80,360.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,094 : 38,132 = 38,132 : x
  2. Step 2: Convert to fraction form
    18,094/38,132 = 38,132/x
  3. Step 3: Cross multiply
    18,094x = 38,132 × 38,132
  4. Step 4: Simplify right side
    18,094x = 1,454,049,424
  5. Step 5: Solve for x
    x = 1,454,049,424/18,094
  6. Step 6: Final answer
    x = 80,360.86

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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.