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Finding the Third Proportional to 13,101.75 and 20,163.09

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Solution

The third proportional to 13,101.75 and 20,163.09 is: 31,030.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,101.75 : 20,163.09 = 20,163.09 : x
  2. Step 2: Convert to fraction form
    13,101.75/20,163.09 = 20,163.09/x
  3. Step 3: Cross multiply
    13,101.75x = 20,163.09 × 20,163.09
  4. Step 4: Simplify right side
    13,101.75x = 406,550,349.57
  5. Step 5: Solve for x
    x = 406,550,349.57/13,101.75
  6. Step 6: Final answer
    x = 31,030.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.