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Finding the Third Proportional to 26,811 and 57,182.63

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Solution

The third proportional to 26,811 and 57,182.63 is: 121,959.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,811 : 57,182.63 = 57,182.63 : x
  2. Step 2: Convert to fraction form
    26,811/57,182.63 = 57,182.63/x
  3. Step 3: Cross multiply
    26,811x = 57,182.63 × 57,182.63
  4. Step 4: Simplify right side
    26,811x = 3,269,852,601.89
  5. Step 5: Solve for x
    x = 3,269,852,601.89/26,811
  6. Step 6: Final answer
    x = 121,959.37

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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.