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Finding the Third Proportional to 18,252 and 27,337.50

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Solution

The third proportional to 18,252 and 27,337.50 is: 40,945.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,252 : 27,337.50 = 27,337.50 : x
  2. Step 2: Convert to fraction form
    18,252/27,337.50 = 27,337.50/x
  3. Step 3: Cross multiply
    18,252x = 27,337.50 × 27,337.50
  4. Step 4: Simplify right side
    18,252x = 747,338,906.25
  5. Step 5: Solve for x
    x = 747,338,906.25/18,252
  6. Step 6: Final answer
    x = 40,945.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.