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Finding the Third Proportional to 9,910.25 and 13,589.75

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Solution

The third proportional to 9,910.25 and 13,589.75 is: 18,635.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,910.25 : 13,589.75 = 13,589.75 : x
  2. Step 2: Convert to fraction form
    9,910.25/13,589.75 = 13,589.75/x
  3. Step 3: Cross multiply
    9,910.25x = 13,589.75 × 13,589.75
  4. Step 4: Simplify right side
    9,910.25x = 184,681,305.06
  5. Step 5: Solve for x
    x = 184,681,305.06/9,910.25
  6. Step 6: Final answer
    x = 18,635.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.