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Finding the Third Proportional to 27,474 and 55,924

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Solution

The third proportional to 27,474 and 55,924 is: 113,834.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,474 : 55,924 = 55,924 : x
  2. Step 2: Convert to fraction form
    27,474/55,924 = 55,924/x
  3. Step 3: Cross multiply
    27,474x = 55,924 × 55,924
  4. Step 4: Simplify right side
    27,474x = 3,127,493,776
  5. Step 5: Solve for x
    x = 3,127,493,776/27,474
  6. Step 6: Final answer
    x = 113,834.67

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.