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Finding the Third Proportional to 27,837 and 57,642

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Solution

The third proportional to 27,837 and 57,642 is: 119,359.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,837 : 57,642 = 57,642 : x
  2. Step 2: Convert to fraction form
    27,837/57,642 = 57,642/x
  3. Step 3: Cross multiply
    27,837x = 57,642 × 57,642
  4. Step 4: Simplify right side
    27,837x = 3,322,600,164
  5. Step 5: Solve for x
    x = 3,322,600,164/27,837
  6. Step 6: Final answer
    x = 119,359.13

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.