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Finding the Third Proportional to 27,811 and 59,997

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Solution

The third proportional to 27,811 and 59,997 is: 129,432.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,811 : 59,997 = 59,997 : x
  2. Step 2: Convert to fraction form
    27,811/59,997 = 59,997/x
  3. Step 3: Cross multiply
    27,811x = 59,997 × 59,997
  4. Step 4: Simplify right side
    27,811x = 3,599,640,009
  5. Step 5: Solve for x
    x = 3,599,640,009/27,811
  6. Step 6: Final answer
    x = 129,432.24

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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.