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Finding the Third Proportional to 16,792 and 36,206

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Solution

The third proportional to 16,792 and 36,206 is: 78,065.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,792 : 36,206 = 36,206 : x
  2. Step 2: Convert to fraction form
    16,792/36,206 = 36,206/x
  3. Step 3: Cross multiply
    16,792x = 36,206 × 36,206
  4. Step 4: Simplify right side
    16,792x = 1,310,874,436
  5. Step 5: Solve for x
    x = 1,310,874,436/16,792
  6. Step 6: Final answer
    x = 78,065.41

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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.