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Finding the Third Proportional to 27,891 and 58,653

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Solution

The third proportional to 27,891 and 58,653 is: 123,343.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,891 : 58,653 = 58,653 : x
  2. Step 2: Convert to fraction form
    27,891/58,653 = 58,653/x
  3. Step 3: Cross multiply
    27,891x = 58,653 × 58,653
  4. Step 4: Simplify right side
    27,891x = 3,440,174,409
  5. Step 5: Solve for x
    x = 3,440,174,409/27,891
  6. Step 6: Final answer
    x = 123,343.53

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.