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Finding the Third Proportional to 6,847 and 14,665

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Solution

The third proportional to 6,847 and 14,665 is: 31,409.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,847 : 14,665 = 14,665 : x
  2. Step 2: Convert to fraction form
    6,847/14,665 = 14,665/x
  3. Step 3: Cross multiply
    6,847x = 14,665 × 14,665
  4. Step 4: Simplify right side
    6,847x = 215,062,225
  5. Step 5: Solve for x
    x = 215,062,225/6,847
  6. Step 6: Final answer
    x = 31,409.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.