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Finding the Third Proportional to 7,693 and 16,775

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Solution

The third proportional to 7,693 and 16,775 is: 36,578.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,693 : 16,775 = 16,775 : x
  2. Step 2: Convert to fraction form
    7,693/16,775 = 16,775/x
  3. Step 3: Cross multiply
    7,693x = 16,775 × 16,775
  4. Step 4: Simplify right side
    7,693x = 281,400,625
  5. Step 5: Solve for x
    x = 281,400,625/7,693
  6. Step 6: Final answer
    x = 36,578.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.