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Finding the Third Proportional to 18,406 and 27,563

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Solution

The third proportional to 18,406 and 27,563 is: 41,275.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,406 : 27,563 = 27,563 : x
  2. Step 2: Convert to fraction form
    18,406/27,563 = 27,563/x
  3. Step 3: Cross multiply
    18,406x = 27,563 × 27,563
  4. Step 4: Simplify right side
    18,406x = 759,718,969
  5. Step 5: Solve for x
    x = 759,718,969/18,406
  6. Step 6: Final answer
    x = 41,275.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.