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Finding the Third Proportional to 38,384 and 82,600

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Solution

The third proportional to 38,384 and 82,600 is: 177,750.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,384 : 82,600 = 82,600 : x
  2. Step 2: Convert to fraction form
    38,384/82,600 = 82,600/x
  3. Step 3: Cross multiply
    38,384x = 82,600 × 82,600
  4. Step 4: Simplify right side
    38,384x = 6,822,760,000
  5. Step 5: Solve for x
    x = 6,822,760,000/38,384
  6. Step 6: Final answer
    x = 177,750.10

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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.