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Finding the Third Proportional to 38,405 and 79,474

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Solution

The third proportional to 38,405 and 79,474 is: 164,460.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,405 : 79,474 = 79,474 : x
  2. Step 2: Convert to fraction form
    38,405/79,474 = 79,474/x
  3. Step 3: Cross multiply
    38,405x = 79,474 × 79,474
  4. Step 4: Simplify right side
    38,405x = 6,316,116,676
  5. Step 5: Solve for x
    x = 6,316,116,676/38,405
  6. Step 6: Final answer
    x = 164,460.79

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.