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Finding the Third Proportional to 13,104.75 and 18,525.25

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Solution

The third proportional to 13,104.75 and 18,525.25 is: 26,187.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,104.75 : 18,525.25 = 18,525.25 : x
  2. Step 2: Convert to fraction form
    13,104.75/18,525.25 = 18,525.25/x
  3. Step 3: Cross multiply
    13,104.75x = 18,525.25 × 18,525.25
  4. Step 4: Simplify right side
    13,104.75x = 343,184,887.56
  5. Step 5: Solve for x
    x = 343,184,887.56/13,104.75
  6. Step 6: Final answer
    x = 26,187.82

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.