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Finding the Third Proportional to 20,482 and 30,049

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Solution

The third proportional to 20,482 and 30,049 is: 44,084.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,482 : 30,049 = 30,049 : x
  2. Step 2: Convert to fraction form
    20,482/30,049 = 30,049/x
  3. Step 3: Cross multiply
    20,482x = 30,049 × 30,049
  4. Step 4: Simplify right side
    20,482x = 902,942,401
  5. Step 5: Solve for x
    x = 902,942,401/20,482
  6. Step 6: Final answer
    x = 44,084.68

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.