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Finding the Third Proportional to 13,858.59 and 30,481.31

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Solution

The third proportional to 13,858.59 and 30,481.31 is: 67,042.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,858.59 : 30,481.31 = 30,481.31 : x
  2. Step 2: Convert to fraction form
    13,858.59/30,481.31 = 30,481.31/x
  3. Step 3: Cross multiply
    13,858.59x = 30,481.31 × 30,481.31
  4. Step 4: Simplify right side
    13,858.59x = 929,110,411.72
  5. Step 5: Solve for x
    x = 929,110,411.72/13,858.59
  6. Step 6: Final answer
    x = 67,042.19

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.