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Finding the Third Proportional to 6,147 and 9,225

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Solution

The third proportional to 6,147 and 9,225 is: 13,844.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,147 : 9,225 = 9,225 : x
  2. Step 2: Convert to fraction form
    6,147/9,225 = 9,225/x
  3. Step 3: Cross multiply
    6,147x = 9,225 × 9,225
  4. Step 4: Simplify right side
    6,147x = 85,100,625
  5. Step 5: Solve for x
    x = 85,100,625/6,147
  6. Step 6: Final answer
    x = 13,844.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.