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Finding the Third Proportional to 23,214 and 50,313

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Solution

The third proportional to 23,214 and 50,313 is: 109,046.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,214 : 50,313 = 50,313 : x
  2. Step 2: Convert to fraction form
    23,214/50,313 = 50,313/x
  3. Step 3: Cross multiply
    23,214x = 50,313 × 50,313
  4. Step 4: Simplify right side
    23,214x = 2,531,397,969
  5. Step 5: Solve for x
    x = 2,531,397,969/23,214
  6. Step 6: Final answer
    x = 109,046.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.