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Finding the Third Proportional to 11,349.56 and 14,734.69

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Solution

The third proportional to 11,349.56 and 14,734.69 is: 19,129.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,349.56 : 14,734.69 = 14,734.69 : x
  2. Step 2: Convert to fraction form
    11,349.56/14,734.69 = 14,734.69/x
  3. Step 3: Cross multiply
    11,349.56x = 14,734.69 × 14,734.69
  4. Step 4: Simplify right side
    11,349.56x = 217,111,015.72
  5. Step 5: Solve for x
    x = 217,111,015.72/11,349.56
  6. Step 6: Final answer
    x = 19,129.46

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.