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Finding the Third Proportional to 27,636 and 43,962

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Solution

The third proportional to 27,636 and 43,962 is: 69,932.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,636 : 43,962 = 43,962 : x
  2. Step 2: Convert to fraction form
    27,636/43,962 = 43,962/x
  3. Step 3: Cross multiply
    27,636x = 43,962 × 43,962
  4. Step 4: Simplify right side
    27,636x = 1,932,657,444
  5. Step 5: Solve for x
    x = 1,932,657,444/27,636
  6. Step 6: Final answer
    x = 69,932.60

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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.