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Finding the Third Proportional to 18,909.75 and 25,084

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Solution

The third proportional to 18,909.75 and 25,084 is: 33,274.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,909.75 : 25,084 = 25,084 : x
  2. Step 2: Convert to fraction form
    18,909.75/25,084 = 25,084/x
  3. Step 3: Cross multiply
    18,909.75x = 25,084 × 25,084
  4. Step 4: Simplify right side
    18,909.75x = 629,207,056
  5. Step 5: Solve for x
    x = 629,207,056/18,909.75
  6. Step 6: Final answer
    x = 33,274.21

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.