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Finding the Third Proportional to 18,287 and 44,137.50

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Solution

The third proportional to 18,287 and 44,137.50 is: 106,530.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,287 : 44,137.50 = 44,137.50 : x
  2. Step 2: Convert to fraction form
    18,287/44,137.50 = 44,137.50/x
  3. Step 3: Cross multiply
    18,287x = 44,137.50 × 44,137.50
  4. Step 4: Simplify right side
    18,287x = 1,948,118,906.25
  5. Step 5: Solve for x
    x = 1,948,118,906.25/18,287
  6. Step 6: Final answer
    x = 106,530.26

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.