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Finding the Third Proportional to 11,930 and 27,731

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Solution

The third proportional to 11,930 and 27,731 is: 64,460.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,930 : 27,731 = 27,731 : x
  2. Step 2: Convert to fraction form
    11,930/27,731 = 27,731/x
  3. Step 3: Cross multiply
    11,930x = 27,731 × 27,731
  4. Step 4: Simplify right side
    11,930x = 769,008,361
  5. Step 5: Solve for x
    x = 769,008,361/11,930
  6. Step 6: Final answer
    x = 64,460.05

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.