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Finding the Third Proportional to 27,576 and 59,824

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Solution

The third proportional to 27,576 and 59,824 is: 129,783.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,576 : 59,824 = 59,824 : x
  2. Step 2: Convert to fraction form
    27,576/59,824 = 59,824/x
  3. Step 3: Cross multiply
    27,576x = 59,824 × 59,824
  4. Step 4: Simplify right side
    27,576x = 3,578,910,976
  5. Step 5: Solve for x
    x = 3,578,910,976/27,576
  6. Step 6: Final answer
    x = 129,783.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.