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Finding the Third Proportional to 12,956 and 27,754

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Solution

The third proportional to 12,956 and 27,754 is: 59,453.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,956 : 27,754 = 27,754 : x
  2. Step 2: Convert to fraction form
    12,956/27,754 = 27,754/x
  3. Step 3: Cross multiply
    12,956x = 27,754 × 27,754
  4. Step 4: Simplify right side
    12,956x = 770,284,516
  5. Step 5: Solve for x
    x = 770,284,516/12,956
  6. Step 6: Final answer
    x = 59,453.88

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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.