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Finding the Third Proportional to 27,771 and 59,977

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Solution

The third proportional to 27,771 and 59,977 is: 129,532.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,771 : 59,977 = 59,977 : x
  2. Step 2: Convert to fraction form
    27,771/59,977 = 59,977/x
  3. Step 3: Cross multiply
    27,771x = 59,977 × 59,977
  4. Step 4: Simplify right side
    27,771x = 3,597,240,529
  5. Step 5: Solve for x
    x = 3,597,240,529/27,771
  6. Step 6: Final answer
    x = 129,532.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.