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Finding the Third Proportional to 7,760 and 16,175

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Solution

The third proportional to 7,760 and 16,175 is: 33,715.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,760 : 16,175 = 16,175 : x
  2. Step 2: Convert to fraction form
    7,760/16,175 = 16,175/x
  3. Step 3: Cross multiply
    7,760x = 16,175 × 16,175
  4. Step 4: Simplify right side
    7,760x = 261,630,625
  5. Step 5: Solve for x
    x = 261,630,625/7,760
  6. Step 6: Final answer
    x = 33,715.29

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.