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Finding the Third Proportional to 27,930 and 60,233

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Solution

The third proportional to 27,930 and 60,233 is: 129,896.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,930 : 60,233 = 60,233 : x
  2. Step 2: Convert to fraction form
    27,930/60,233 = 60,233/x
  3. Step 3: Cross multiply
    27,930x = 60,233 × 60,233
  4. Step 4: Simplify right side
    27,930x = 3,628,014,289
  5. Step 5: Solve for x
    x = 3,628,014,289/27,930
  6. Step 6: Final answer
    x = 129,896.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.