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Finding the Third Proportional to 38,308 and 82,448

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Solution

The third proportional to 38,308 and 82,448 is: 177,447.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,308 : 82,448 = 82,448 : x
  2. Step 2: Convert to fraction form
    38,308/82,448 = 82,448/x
  3. Step 3: Cross multiply
    38,308x = 82,448 × 82,448
  4. Step 4: Simplify right side
    38,308x = 6,797,672,704
  5. Step 5: Solve for x
    x = 6,797,672,704/38,308
  6. Step 6: Final answer
    x = 177,447.86

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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.