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Finding the Third Proportional to 38,040 and 82,504

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Solution

The third proportional to 38,040 and 82,504 is: 178,940.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,040 : 82,504 = 82,504 : x
  2. Step 2: Convert to fraction form
    38,040/82,504 = 82,504/x
  3. Step 3: Cross multiply
    38,040x = 82,504 × 82,504
  4. Step 4: Simplify right side
    38,040x = 6,806,910,016
  5. Step 5: Solve for x
    x = 6,806,910,016/38,040
  6. Step 6: Final answer
    x = 178,940.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.