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Finding the Third Proportional to 20,171 and 23,270

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Solution

The third proportional to 20,171 and 23,270 is: 26,845.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,171 : 23,270 = 23,270 : x
  2. Step 2: Convert to fraction form
    20,171/23,270 = 23,270/x
  3. Step 3: Cross multiply
    20,171x = 23,270 × 23,270
  4. Step 4: Simplify right side
    20,171x = 541,492,900
  5. Step 5: Solve for x
    x = 541,492,900/20,171
  6. Step 6: Final answer
    x = 26,845.12

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.