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Finding the Third Proportional to 38,298 and 82,761

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Solution

The third proportional to 38,298 and 82,761 is: 178,844.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,298 : 82,761 = 82,761 : x
  2. Step 2: Convert to fraction form
    38,298/82,761 = 82,761/x
  3. Step 3: Cross multiply
    38,298x = 82,761 × 82,761
  4. Step 4: Simplify right side
    38,298x = 6,849,383,121
  5. Step 5: Solve for x
    x = 6,849,383,121/38,298
  6. Step 6: Final answer
    x = 178,844.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.