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Finding the Third Proportional to 26,002 and 39,186.75

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Solution

The third proportional to 26,002 and 39,186.75 is: 59,057.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,002 : 39,186.75 = 39,186.75 : x
  2. Step 2: Convert to fraction form
    26,002/39,186.75 = 39,186.75/x
  3. Step 3: Cross multiply
    26,002x = 39,186.75 × 39,186.75
  4. Step 4: Simplify right side
    26,002x = 1,535,601,375.56
  5. Step 5: Solve for x
    x = 1,535,601,375.56/26,002
  6. Step 6: Final answer
    x = 59,057.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.