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Finding the Third Proportional to 11,755 and 18,005.50

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Solution

The third proportional to 11,755 and 18,005.50 is: 27,579.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,755 : 18,005.50 = 18,005.50 : x
  2. Step 2: Convert to fraction form
    11,755/18,005.50 = 18,005.50/x
  3. Step 3: Cross multiply
    11,755x = 18,005.50 × 18,005.50
  4. Step 4: Simplify right side
    11,755x = 324,198,030.25
  5. Step 5: Solve for x
    x = 324,198,030.25/11,755
  6. Step 6: Final answer
    x = 27,579.59

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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.