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Finding the Third Proportional to 38,325.38 and 82,478.25

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Solution

The third proportional to 38,325.38 and 82,478.25 is: 177,497.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,325.38 : 82,478.25 = 82,478.25 : x
  2. Step 2: Convert to fraction form
    38,325.38/82,478.25 = 82,478.25/x
  3. Step 3: Cross multiply
    38,325.38x = 82,478.25 × 82,478.25
  4. Step 4: Simplify right side
    38,325.38x = 6,802,661,723.06
  5. Step 5: Solve for x
    x = 6,802,661,723.06/38,325.38
  6. Step 6: Final answer
    x = 177,497.59

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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.