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Finding the Third Proportional to 27,643 and 41,493

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Solution

The third proportional to 27,643 and 41,493 is: 62,282.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,643 : 41,493 = 41,493 : x
  2. Step 2: Convert to fraction form
    27,643/41,493 = 41,493/x
  3. Step 3: Cross multiply
    27,643x = 41,493 × 41,493
  4. Step 4: Simplify right side
    27,643x = 1,721,669,049
  5. Step 5: Solve for x
    x = 1,721,669,049/27,643
  6. Step 6: Final answer
    x = 62,282.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.