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Finding the Third Proportional to 27,616 and 57,693

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Solution

The third proportional to 27,616 and 57,693 is: 120,527.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,616 : 57,693 = 57,693 : x
  2. Step 2: Convert to fraction form
    27,616/57,693 = 57,693/x
  3. Step 3: Cross multiply
    27,616x = 57,693 × 57,693
  4. Step 4: Simplify right side
    27,616x = 3,328,482,249
  5. Step 5: Solve for x
    x = 3,328,482,249/27,616
  6. Step 6: Final answer
    x = 120,527.31

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.