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Finding the Third Proportional to 7,765 and 16,825

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Solution

The third proportional to 7,765 and 16,825 is: 36,455.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,765 : 16,825 = 16,825 : x
  2. Step 2: Convert to fraction form
    7,765/16,825 = 16,825/x
  3. Step 3: Cross multiply
    7,765x = 16,825 × 16,825
  4. Step 4: Simplify right side
    7,765x = 283,080,625
  5. Step 5: Solve for x
    x = 283,080,625/7,765
  6. Step 6: Final answer
    x = 36,455.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.