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Finding the Third Proportional to 5,842 and 11,957

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Solution

The third proportional to 5,842 and 11,957 is: 24,472.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842 : 11,957 = 11,957 : x
  2. Step 2: Convert to fraction form
    5,842/11,957 = 11,957/x
  3. Step 3: Cross multiply
    5,842x = 11,957 × 11,957
  4. Step 4: Simplify right side
    5,842x = 142,969,849
  5. Step 5: Solve for x
    x = 142,969,849/5,842
  6. Step 6: Final answer
    x = 24,472.76

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.