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Finding the Third Proportional to 38,474 and 82,792

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Solution

The third proportional to 38,474 and 82,792 is: 178,159.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,474 : 82,792 = 82,792 : x
  2. Step 2: Convert to fraction form
    38,474/82,792 = 82,792/x
  3. Step 3: Cross multiply
    38,474x = 82,792 × 82,792
  4. Step 4: Simplify right side
    38,474x = 6,854,515,264
  5. Step 5: Solve for x
    x = 6,854,515,264/38,474
  6. Step 6: Final answer
    x = 178,159.67

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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.