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Finding the Third Proportional to 22,469 and 34,419

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Solution

The third proportional to 22,469 and 34,419 is: 52,724.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,469 : 34,419 = 34,419 : x
  2. Step 2: Convert to fraction form
    22,469/34,419 = 34,419/x
  3. Step 3: Cross multiply
    22,469x = 34,419 × 34,419
  4. Step 4: Simplify right side
    22,469x = 1,184,667,561
  5. Step 5: Solve for x
    x = 1,184,667,561/22,469
  6. Step 6: Final answer
    x = 52,724.53

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.