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Finding the Third Proportional to 27,251 and 38,563

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Solution

The third proportional to 27,251 and 38,563 is: 54,570.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,251 : 38,563 = 38,563 : x
  2. Step 2: Convert to fraction form
    27,251/38,563 = 38,563/x
  3. Step 3: Cross multiply
    27,251x = 38,563 × 38,563
  4. Step 4: Simplify right side
    27,251x = 1,487,104,969
  5. Step 5: Solve for x
    x = 1,487,104,969/27,251
  6. Step 6: Final answer
    x = 54,570.66

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.