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Finding the Third Proportional to 38,536 and 82,280

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Solution

The third proportional to 38,536 and 82,280 is: 175,679.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,536 : 82,280 = 82,280 : x
  2. Step 2: Convert to fraction form
    38,536/82,280 = 82,280/x
  3. Step 3: Cross multiply
    38,536x = 82,280 × 82,280
  4. Step 4: Simplify right side
    38,536x = 6,769,998,400
  5. Step 5: Solve for x
    x = 6,769,998,400/38,536
  6. Step 6: Final answer
    x = 175,679.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.