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Finding the Third Proportional to 2,930 and 5,932

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Solution

The third proportional to 2,930 and 5,932 is: 12,009.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,930 : 5,932 = 5,932 : x
  2. Step 2: Convert to fraction form
    2,930/5,932 = 5,932/x
  3. Step 3: Cross multiply
    2,930x = 5,932 × 5,932
  4. Step 4: Simplify right side
    2,930x = 35,188,624
  5. Step 5: Solve for x
    x = 35,188,624/2,930
  6. Step 6: Final answer
    x = 12,009.77

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.