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Finding the Third Proportional to 13,945.31 and 21,245.06

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Solution

The third proportional to 13,945.31 and 21,245.06 is: 32,365.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,945.31 : 21,245.06 = 21,245.06 : x
  2. Step 2: Convert to fraction form
    13,945.31/21,245.06 = 21,245.06/x
  3. Step 3: Cross multiply
    13,945.31x = 21,245.06 × 21,245.06
  4. Step 4: Simplify right side
    13,945.31x = 451,352,680.63
  5. Step 5: Solve for x
    x = 451,352,680.63/13,945.31
  6. Step 6: Final answer
    x = 32,365.91

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.