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Finding the Third Proportional to 11,901 and 18,166.50

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Solution

The third proportional to 11,901 and 18,166.50 is: 27,730.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,901 : 18,166.50 = 18,166.50 : x
  2. Step 2: Convert to fraction form
    11,901/18,166.50 = 18,166.50/x
  3. Step 3: Cross multiply
    11,901x = 18,166.50 × 18,166.50
  4. Step 4: Simplify right side
    11,901x = 330,021,722.25
  5. Step 5: Solve for x
    x = 330,021,722.25/11,901
  6. Step 6: Final answer
    x = 27,730.59

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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.