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Finding the Third Proportional to 27,614 and 43,795

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Solution

The third proportional to 27,614 and 43,795 is: 69,457.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,614 : 43,795 = 43,795 : x
  2. Step 2: Convert to fraction form
    27,614/43,795 = 43,795/x
  3. Step 3: Cross multiply
    27,614x = 43,795 × 43,795
  4. Step 4: Simplify right side
    27,614x = 1,918,002,025
  5. Step 5: Solve for x
    x = 1,918,002,025/27,614
  6. Step 6: Final answer
    x = 69,457.59

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.