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Finding the Third Proportional to 5,743.41 and 11,881.69

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Solution

The third proportional to 5,743.41 and 11,881.69 is: 24,580.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,743.41 : 11,881.69 = 11,881.69 : x
  2. Step 2: Convert to fraction form
    5,743.41/11,881.69 = 11,881.69/x
  3. Step 3: Cross multiply
    5,743.41x = 11,881.69 × 11,881.69
  4. Step 4: Simplify right side
    5,743.41x = 141,174,497.85
  5. Step 5: Solve for x
    x = 141,174,497.85/5,743.41
  6. Step 6: Final answer
    x = 24,580.27

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.