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Finding the Third Proportional to 27,728 and 59,760

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Solution

The third proportional to 27,728 and 59,760 is: 128,796.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,728 : 59,760 = 59,760 : x
  2. Step 2: Convert to fraction form
    27,728/59,760 = 59,760/x
  3. Step 3: Cross multiply
    27,728x = 59,760 × 59,760
  4. Step 4: Simplify right side
    27,728x = 3,571,257,600
  5. Step 5: Solve for x
    x = 3,571,257,600/27,728
  6. Step 6: Final answer
    x = 128,796.08

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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.