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Finding the Third Proportional to 13,169.25 and 20,300.63

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Solution

The third proportional to 13,169.25 and 20,300.63 is: 31,293.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,169.25 : 20,300.63 = 20,300.63 : x
  2. Step 2: Convert to fraction form
    13,169.25/20,300.63 = 20,300.63/x
  3. Step 3: Cross multiply
    13,169.25x = 20,300.63 × 20,300.63
  4. Step 4: Simplify right side
    13,169.25x = 412,115,375.39
  5. Step 5: Solve for x
    x = 412,115,375.39/13,169.25
  6. Step 6: Final answer
    x = 31,293.76

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