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Finding the Third Proportional to 5,743.50 and 11,856

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Solution

The third proportional to 5,743.50 and 11,856 is: 24,473.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,743.50 : 11,856 = 11,856 : x
  2. Step 2: Convert to fraction form
    5,743.50/11,856 = 11,856/x
  3. Step 3: Cross multiply
    5,743.50x = 11,856 × 11,856
  4. Step 4: Simplify right side
    5,743.50x = 140,564,736
  5. Step 5: Solve for x
    x = 140,564,736/5,743.50
  6. Step 6: Final answer
    x = 24,473.71

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.