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Finding the Third Proportional to 38,097 and 54,162

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Solution

The third proportional to 38,097 and 54,162 is: 77,001.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,097 : 54,162 = 54,162 : x
  2. Step 2: Convert to fraction form
    38,097/54,162 = 54,162/x
  3. Step 3: Cross multiply
    38,097x = 54,162 × 54,162
  4. Step 4: Simplify right side
    38,097x = 2,933,522,244
  5. Step 5: Solve for x
    x = 2,933,522,244/38,097
  6. Step 6: Final answer
    x = 77,001.40

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.