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Finding the Third Proportional to 6,110 and 11,734

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Solution

The third proportional to 6,110 and 11,734 is: 22,534.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,110 : 11,734 = 11,734 : x
  2. Step 2: Convert to fraction form
    6,110/11,734 = 11,734/x
  3. Step 3: Cross multiply
    6,110x = 11,734 × 11,734
  4. Step 4: Simplify right side
    6,110x = 137,686,756
  5. Step 5: Solve for x
    x = 137,686,756/6,110
  6. Step 6: Final answer
    x = 22,534.66

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.