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Finding the Third Proportional to 38,101 and 82,466

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Solution

The third proportional to 38,101 and 82,466 is: 178,489.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,101 : 82,466 = 82,466 : x
  2. Step 2: Convert to fraction form
    38,101/82,466 = 82,466/x
  3. Step 3: Cross multiply
    38,101x = 82,466 × 82,466
  4. Step 4: Simplify right side
    38,101x = 6,800,641,156
  5. Step 5: Solve for x
    x = 6,800,641,156/38,101
  6. Step 6: Final answer
    x = 178,489.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.