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Finding the Third Proportional to 13,717.27 and 29,481.05

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Solution

The third proportional to 13,717.27 and 29,481.05 is: 63,360.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,717.27 : 29,481.05 = 29,481.05 : x
  2. Step 2: Convert to fraction form
    13,717.27/29,481.05 = 29,481.05/x
  3. Step 3: Cross multiply
    13,717.27x = 29,481.05 × 29,481.05
  4. Step 4: Simplify right side
    13,717.27x = 869,132,124.85
  5. Step 5: Solve for x
    x = 869,132,124.85/13,717.27
  6. Step 6: Final answer
    x = 63,360.45

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.