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Finding the Third Proportional to 18,469 and 39,351.50

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Solution

The third proportional to 18,469 and 39,351.50 is: 83,845.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,469 : 39,351.50 = 39,351.50 : x
  2. Step 2: Convert to fraction form
    18,469/39,351.50 = 39,351.50/x
  3. Step 3: Cross multiply
    18,469x = 39,351.50 × 39,351.50
  4. Step 4: Simplify right side
    18,469x = 1,548,540,552.25
  5. Step 5: Solve for x
    x = 1,548,540,552.25/18,469
  6. Step 6: Final answer
    x = 83,845.39

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.