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Finding the Third Proportional to 18,508.50 and 27,766.13

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Solution

The third proportional to 18,508.50 and 27,766.13 is: 41,654.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,508.50 : 27,766.13 = 27,766.13 : x
  2. Step 2: Convert to fraction form
    18,508.50/27,766.13 = 27,766.13/x
  3. Step 3: Cross multiply
    18,508.50x = 27,766.13 × 27,766.13
  4. Step 4: Simplify right side
    18,508.50x = 770,957,697.52
  5. Step 5: Solve for x
    x = 770,957,697.52/18,508.50
  6. Step 6: Final answer
    x = 41,654.25

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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.