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Finding the Third Proportional to 13,309.31 and 18,736.31

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Solution

The third proportional to 13,309.31 and 18,736.31 is: 26,376.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,309.31 : 18,736.31 = 18,736.31 : x
  2. Step 2: Convert to fraction form
    13,309.31/18,736.31 = 18,736.31/x
  3. Step 3: Cross multiply
    13,309.31x = 18,736.31 × 18,736.31
  4. Step 4: Simplify right side
    13,309.31x = 351,049,406.10
  5. Step 5: Solve for x
    x = 351,049,406.10/13,309.31
  6. Step 6: Final answer
    x = 26,376.22

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.