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Finding the Third Proportional to 6,737 and 13,654

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Solution

The third proportional to 6,737 and 13,654 is: 27,672.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,737 : 13,654 = 13,654 : x
  2. Step 2: Convert to fraction form
    6,737/13,654 = 13,654/x
  3. Step 3: Cross multiply
    6,737x = 13,654 × 13,654
  4. Step 4: Simplify right side
    6,737x = 186,431,716
  5. Step 5: Solve for x
    x = 186,431,716/6,737
  6. Step 6: Final answer
    x = 27,672.81

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.