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Finding the Third Proportional to 27,825 and 65,617

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Solution

The third proportional to 27,825 and 65,617 is: 154,738.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,825 : 65,617 = 65,617 : x
  2. Step 2: Convert to fraction form
    27,825/65,617 = 65,617/x
  3. Step 3: Cross multiply
    27,825x = 65,617 × 65,617
  4. Step 4: Simplify right side
    27,825x = 4,305,590,689
  5. Step 5: Solve for x
    x = 4,305,590,689/27,825
  6. Step 6: Final answer
    x = 154,738.21

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.