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Finding the Third Proportional to 13,481.72 and 20,411.16

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Solution

The third proportional to 13,481.72 and 20,411.16 is: 30,902.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,481.72 : 20,411.16 = 20,411.16 : x
  2. Step 2: Convert to fraction form
    13,481.72/20,411.16 = 20,411.16/x
  3. Step 3: Cross multiply
    13,481.72x = 20,411.16 × 20,411.16
  4. Step 4: Simplify right side
    13,481.72x = 416,615,299.46
  5. Step 5: Solve for x
    x = 416,615,299.46/13,481.72
  6. Step 6: Final answer
    x = 30,902.24

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.