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Finding the Third Proportional to 23,422 and 50,813

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Solution

The third proportional to 23,422 and 50,813 is: 110,236.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,422 : 50,813 = 50,813 : x
  2. Step 2: Convert to fraction form
    23,422/50,813 = 50,813/x
  3. Step 3: Cross multiply
    23,422x = 50,813 × 50,813
  4. Step 4: Simplify right side
    23,422x = 2,581,960,969
  5. Step 5: Solve for x
    x = 2,581,960,969/23,422
  6. Step 6: Final answer
    x = 110,236.57

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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.