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Finding the Third Proportional to 27,825 and 41,729

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Solution

The third proportional to 27,825 and 41,729 is: 62,580.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,825 : 41,729 = 41,729 : x
  2. Step 2: Convert to fraction form
    27,825/41,729 = 41,729/x
  3. Step 3: Cross multiply
    27,825x = 41,729 × 41,729
  4. Step 4: Simplify right side
    27,825x = 1,741,309,441
  5. Step 5: Solve for x
    x = 1,741,309,441/27,825
  6. Step 6: Final answer
    x = 62,580.75

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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.