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Finding the Third Proportional to 20,310.75 and 30,249

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Solution

The third proportional to 20,310.75 and 30,249 is: 45,050.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,310.75 : 30,249 = 30,249 : x
  2. Step 2: Convert to fraction form
    20,310.75/30,249 = 30,249/x
  3. Step 3: Cross multiply
    20,310.75x = 30,249 × 30,249
  4. Step 4: Simplify right side
    20,310.75x = 915,002,001
  5. Step 5: Solve for x
    x = 915,002,001/20,310.75
  6. Step 6: Final answer
    x = 45,050.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.