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Finding the Third Proportional to 10,721 and 23,231

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Solution

The third proportional to 10,721 and 23,231 is: 50,338.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,721 : 23,231 = 23,231 : x
  2. Step 2: Convert to fraction form
    10,721/23,231 = 23,231/x
  3. Step 3: Cross multiply
    10,721x = 23,231 × 23,231
  4. Step 4: Simplify right side
    10,721x = 539,679,361
  5. Step 5: Solve for x
    x = 539,679,361/10,721
  6. Step 6: Final answer
    x = 50,338.53

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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.