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Finding the Third Proportional to 13,007.25 and 20,131.88

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Solution

The third proportional to 13,007.25 and 20,131.88 is: 31,158.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,007.25 : 20,131.88 = 20,131.88 : x
  2. Step 2: Convert to fraction form
    13,007.25/20,131.88 = 20,131.88/x
  3. Step 3: Cross multiply
    13,007.25x = 20,131.88 × 20,131.88
  4. Step 4: Simplify right side
    13,007.25x = 405,292,391.02
  5. Step 5: Solve for x
    x = 405,292,391.02/13,007.25
  6. Step 6: Final answer
    x = 31,158.96

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.