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Finding the Third Proportional to 11,333 and 18,729.50

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Solution

The third proportional to 11,333 and 18,729.50 is: 30,953.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,333 : 18,729.50 = 18,729.50 : x
  2. Step 2: Convert to fraction form
    11,333/18,729.50 = 18,729.50/x
  3. Step 3: Cross multiply
    11,333x = 18,729.50 × 18,729.50
  4. Step 4: Simplify right side
    11,333x = 350,794,170.25
  5. Step 5: Solve for x
    x = 350,794,170.25/11,333
  6. Step 6: Final answer
    x = 30,953.34

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.