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Finding the Third Proportional to 38,097 and 82,458

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Solution

The third proportional to 38,097 and 82,458 is: 178,473.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,097 : 82,458 = 82,458 : x
  2. Step 2: Convert to fraction form
    38,097/82,458 = 82,458/x
  3. Step 3: Cross multiply
    38,097x = 82,458 × 82,458
  4. Step 4: Simplify right side
    38,097x = 6,799,321,764
  5. Step 5: Solve for x
    x = 6,799,321,764/38,097
  6. Step 6: Final answer
    x = 178,473.94

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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.