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Finding the Third Proportional to 27,963 and 43,637

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Solution

The third proportional to 27,963 and 43,637 is: 68,096.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,963 : 43,637 = 43,637 : x
  2. Step 2: Convert to fraction form
    27,963/43,637 = 43,637/x
  3. Step 3: Cross multiply
    27,963x = 43,637 × 43,637
  4. Step 4: Simplify right side
    27,963x = 1,904,187,769
  5. Step 5: Solve for x
    x = 1,904,187,769/27,963
  6. Step 6: Final answer
    x = 68,096.69

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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.