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Finding the Third Proportional to 17,684 and 36,792

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Solution

The third proportional to 17,684 and 36,792 is: 76,546.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,684 : 36,792 = 36,792 : x
  2. Step 2: Convert to fraction form
    17,684/36,792 = 36,792/x
  3. Step 3: Cross multiply
    17,684x = 36,792 × 36,792
  4. Step 4: Simplify right side
    17,684x = 1,353,651,264
  5. Step 5: Solve for x
    x = 1,353,651,264/17,684
  6. Step 6: Final answer
    x = 76,546.67

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.