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Finding the Third Proportional to 16,696 and 38,822

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Solution

The third proportional to 16,696 and 38,822 is: 90,269.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,696 : 38,822 = 38,822 : x
  2. Step 2: Convert to fraction form
    16,696/38,822 = 38,822/x
  3. Step 3: Cross multiply
    16,696x = 38,822 × 38,822
  4. Step 4: Simplify right side
    16,696x = 1,507,147,684
  5. Step 5: Solve for x
    x = 1,507,147,684/16,696
  6. Step 6: Final answer
    x = 90,269.99

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.