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Finding the Third Proportional to 11,365.31 and 13,734.56

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Solution

The third proportional to 11,365.31 and 13,734.56 is: 16,597.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,365.31 : 13,734.56 = 13,734.56 : x
  2. Step 2: Convert to fraction form
    11,365.31/13,734.56 = 13,734.56/x
  3. Step 3: Cross multiply
    11,365.31x = 13,734.56 × 13,734.56
  4. Step 4: Simplify right side
    11,365.31x = 188,638,207.07
  5. Step 5: Solve for x
    x = 188,638,207.07/11,365.31
  6. Step 6: Final answer
    x = 16,597.71

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These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.