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Finding the Third Proportional to 13,717.69 and 18,520.31

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Solution

The third proportional to 13,717.69 and 18,520.31 is: 25,004.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,717.69 : 18,520.31 = 18,520.31 : x
  2. Step 2: Convert to fraction form
    13,717.69/18,520.31 = 18,520.31/x
  3. Step 3: Cross multiply
    13,717.69x = 18,520.31 × 18,520.31
  4. Step 4: Simplify right side
    13,717.69x = 343,001,975.10
  5. Step 5: Solve for x
    x = 343,001,975.10/13,717.69
  6. Step 6: Final answer
    x = 25,004.36

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.