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Finding the Third Proportional to 11,931 and 27,733.50

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Solution

The third proportional to 11,931 and 27,733.50 is: 64,466.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,931 : 27,733.50 = 27,733.50 : x
  2. Step 2: Convert to fraction form
    11,931/27,733.50 = 27,733.50/x
  3. Step 3: Cross multiply
    11,931x = 27,733.50 × 27,733.50
  4. Step 4: Simplify right side
    11,931x = 769,147,022.25
  5. Step 5: Solve for x
    x = 769,147,022.25/11,931
  6. Step 6: Final answer
    x = 64,466.27

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.