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Finding the Third Proportional to 38,084 and 82,024

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Solution

The third proportional to 38,084 and 82,024 is: 176,660.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,084 : 82,024 = 82,024 : x
  2. Step 2: Convert to fraction form
    38,084/82,024 = 82,024/x
  3. Step 3: Cross multiply
    38,084x = 82,024 × 82,024
  4. Step 4: Simplify right side
    38,084x = 6,727,936,576
  5. Step 5: Solve for x
    x = 6,727,936,576/38,084
  6. Step 6: Final answer
    x = 176,660.45

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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.