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Finding the Third Proportional to 11,917.73 and 25,885.69

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Solution

The third proportional to 11,917.73 and 25,885.69 is: 56,224.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,917.73 : 25,885.69 = 25,885.69 : x
  2. Step 2: Convert to fraction form
    11,917.73/25,885.69 = 25,885.69/x
  3. Step 3: Cross multiply
    11,917.73x = 25,885.69 × 25,885.69
  4. Step 4: Simplify right side
    11,917.73x = 670,068,817.35
  5. Step 5: Solve for x
    x = 670,068,817.35/11,917.73
  6. Step 6: Final answer
    x = 56,224.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.