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Finding the Third Proportional to 38,084 and 82,000

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Solution

The third proportional to 38,084 and 82,000 is: 176,557.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,084 : 82,000 = 82,000 : x
  2. Step 2: Convert to fraction form
    38,084/82,000 = 82,000/x
  3. Step 3: Cross multiply
    38,084x = 82,000 × 82,000
  4. Step 4: Simplify right side
    38,084x = 6,724,000,000
  5. Step 5: Solve for x
    x = 6,724,000,000/38,084
  6. Step 6: Final answer
    x = 176,557.08

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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.