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Finding the Third Proportional to 10,469 and 22,455

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Solution

The third proportional to 10,469 and 22,455 is: 48,163.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,469 : 22,455 = 22,455 : x
  2. Step 2: Convert to fraction form
    10,469/22,455 = 22,455/x
  3. Step 3: Cross multiply
    10,469x = 22,455 × 22,455
  4. Step 4: Simplify right side
    10,469x = 504,227,025
  5. Step 5: Solve for x
    x = 504,227,025/10,469
  6. Step 6: Final answer
    x = 48,163.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.