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Finding the Third Proportional to 15,412 and 23,227

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Solution

The third proportional to 15,412 and 23,227 is: 35,004.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,412 : 23,227 = 23,227 : x
  2. Step 2: Convert to fraction form
    15,412/23,227 = 23,227/x
  3. Step 3: Cross multiply
    15,412x = 23,227 × 23,227
  4. Step 4: Simplify right side
    15,412x = 539,493,529
  5. Step 5: Solve for x
    x = 539,493,529/15,412
  6. Step 6: Final answer
    x = 35,004.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.