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Finding the Third Proportional to 5,225 and 7,093

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Solution

The third proportional to 5,225 and 7,093 is: 9,628.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,225 : 7,093 = 7,093 : x
  2. Step 2: Convert to fraction form
    5,225/7,093 = 7,093/x
  3. Step 3: Cross multiply
    5,225x = 7,093 × 7,093
  4. Step 4: Simplify right side
    5,225x = 50,310,649
  5. Step 5: Solve for x
    x = 50,310,649/5,225
  6. Step 6: Final answer
    x = 9,628.83

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.