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Finding the Third Proportional to 38,268 and 82,398

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Solution

The third proportional to 38,268 and 82,398 is: 177,417.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,268 : 82,398 = 82,398 : x
  2. Step 2: Convert to fraction form
    38,268/82,398 = 82,398/x
  3. Step 3: Cross multiply
    38,268x = 82,398 × 82,398
  4. Step 4: Simplify right side
    38,268x = 6,789,430,404
  5. Step 5: Solve for x
    x = 6,789,430,404/38,268
  6. Step 6: Final answer
    x = 177,417.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.