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Finding the Third Proportional to 27,634 and 43,228

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Solution

The third proportional to 27,634 and 43,228 is: 67,621.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,634 : 43,228 = 43,228 : x
  2. Step 2: Convert to fraction form
    27,634/43,228 = 43,228/x
  3. Step 3: Cross multiply
    27,634x = 43,228 × 43,228
  4. Step 4: Simplify right side
    27,634x = 1,868,659,984
  5. Step 5: Solve for x
    x = 1,868,659,984/27,634
  6. Step 6: Final answer
    x = 67,621.77

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.