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Finding the Third Proportional to 6,542 and 13,966

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Solution

The third proportional to 6,542 and 13,966 is: 29,814.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542 : 13,966 = 13,966 : x
  2. Step 2: Convert to fraction form
    6,542/13,966 = 13,966/x
  3. Step 3: Cross multiply
    6,542x = 13,966 × 13,966
  4. Step 4: Simplify right side
    6,542x = 195,049,156
  5. Step 5: Solve for x
    x = 195,049,156/6,542
  6. Step 6: Final answer
    x = 29,814.91

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.