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Finding the Third Proportional to 20,213 and 43,174

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Solution

The third proportional to 20,213 and 43,174 is: 92,217.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,213 : 43,174 = 43,174 : x
  2. Step 2: Convert to fraction form
    20,213/43,174 = 43,174/x
  3. Step 3: Cross multiply
    20,213x = 43,174 × 43,174
  4. Step 4: Simplify right side
    20,213x = 1,863,994,276
  5. Step 5: Solve for x
    x = 1,863,994,276/20,213
  6. Step 6: Final answer
    x = 92,217.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.