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Finding the Third Proportional to 38,454 and 82,375

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Solution

The third proportional to 38,454 and 82,375 is: 176,461.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,454 : 82,375 = 82,375 : x
  2. Step 2: Convert to fraction form
    38,454/82,375 = 82,375/x
  3. Step 3: Cross multiply
    38,454x = 82,375 × 82,375
  4. Step 4: Simplify right side
    38,454x = 6,785,640,625
  5. Step 5: Solve for x
    x = 6,785,640,625/38,454
  6. Step 6: Final answer
    x = 176,461.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.