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Finding the Third Proportional to 27,814 and 57,930

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Solution

The third proportional to 27,814 and 57,930 is: 120,654.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,814 : 57,930 = 57,930 : x
  2. Step 2: Convert to fraction form
    27,814/57,930 = 57,930/x
  3. Step 3: Cross multiply
    27,814x = 57,930 × 57,930
  4. Step 4: Simplify right side
    27,814x = 3,355,884,900
  5. Step 5: Solve for x
    x = 3,355,884,900/27,814
  6. Step 6: Final answer
    x = 120,654.52

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.