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Finding the Third Proportional to 27,734 and 37,173

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Solution

The third proportional to 27,734 and 37,173 is: 49,824.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,734 : 37,173 = 37,173 : x
  2. Step 2: Convert to fraction form
    27,734/37,173 = 37,173/x
  3. Step 3: Cross multiply
    27,734x = 37,173 × 37,173
  4. Step 4: Simplify right side
    27,734x = 1,381,831,929
  5. Step 5: Solve for x
    x = 1,381,831,929/27,734
  6. Step 6: Final answer
    x = 49,824.47

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.