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Finding the Third Proportional to 20,213 and 30,601

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Solution

The third proportional to 20,213 and 30,601 is: 46,327.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,213 : 30,601 = 30,601 : x
  2. Step 2: Convert to fraction form
    20,213/30,601 = 30,601/x
  3. Step 3: Cross multiply
    20,213x = 30,601 × 30,601
  4. Step 4: Simplify right side
    20,213x = 936,421,201
  5. Step 5: Solve for x
    x = 936,421,201/20,213
  6. Step 6: Final answer
    x = 46,327.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.