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Finding the Third Proportional to 26,993.25 and 42,018.75

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Solution

The third proportional to 26,993.25 and 42,018.75 is: 65,408.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,993.25 : 42,018.75 = 42,018.75 : x
  2. Step 2: Convert to fraction form
    26,993.25/42,018.75 = 42,018.75/x
  3. Step 3: Cross multiply
    26,993.25x = 42,018.75 × 42,018.75
  4. Step 4: Simplify right side
    26,993.25x = 1,765,575,351.56
  5. Step 5: Solve for x
    x = 1,765,575,351.56/26,993.25
  6. Step 6: Final answer
    x = 65,408.03

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.