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Finding the Third Proportional to 7,792 and 16,286

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Solution

The third proportional to 7,792 and 16,286 is: 34,039.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,792 : 16,286 = 16,286 : x
  2. Step 2: Convert to fraction form
    7,792/16,286 = 16,286/x
  3. Step 3: Cross multiply
    7,792x = 16,286 × 16,286
  4. Step 4: Simplify right side
    7,792x = 265,233,796
  5. Step 5: Solve for x
    x = 265,233,796/7,792
  6. Step 6: Final answer
    x = 34,039.24

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.