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Finding the Third Proportional to 23,021 and 50,882

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Solution

The third proportional to 23,021 and 50,882 is: 112,461.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,021 : 50,882 = 50,882 : x
  2. Step 2: Convert to fraction form
    23,021/50,882 = 50,882/x
  3. Step 3: Cross multiply
    23,021x = 50,882 × 50,882
  4. Step 4: Simplify right side
    23,021x = 2,588,977,924
  5. Step 5: Solve for x
    x = 2,588,977,924/23,021
  6. Step 6: Final answer
    x = 112,461.58

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.