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Finding the Third Proportional to 27,992 and 59,728

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Solution

The third proportional to 27,992 and 59,728 is: 127,444.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,992 : 59,728 = 59,728 : x
  2. Step 2: Convert to fraction form
    27,992/59,728 = 59,728/x
  3. Step 3: Cross multiply
    27,992x = 59,728 × 59,728
  4. Step 4: Simplify right side
    27,992x = 3,567,433,984
  5. Step 5: Solve for x
    x = 3,567,433,984/27,992
  6. Step 6: Final answer
    x = 127,444.77

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.