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Finding the Third Proportional to 11,916 and 18,194.63

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Solution

The third proportional to 11,916 and 18,194.63 is: 27,781.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,916 : 18,194.63 = 18,194.63 : x
  2. Step 2: Convert to fraction form
    11,916/18,194.63 = 18,194.63/x
  3. Step 3: Cross multiply
    11,916x = 18,194.63 × 18,194.63
  4. Step 4: Simplify right side
    11,916x = 331,044,378.89
  5. Step 5: Solve for x
    x = 331,044,378.89/11,916
  6. Step 6: Final answer
    x = 27,781.50

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.