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Finding the Third Proportional to 13,629.75 and 29,727.75

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Solution

The third proportional to 13,629.75 and 29,727.75 is: 64,838.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,629.75 : 29,727.75 = 29,727.75 : x
  2. Step 2: Convert to fraction form
    13,629.75/29,727.75 = 29,727.75/x
  3. Step 3: Cross multiply
    13,629.75x = 29,727.75 × 29,727.75
  4. Step 4: Simplify right side
    13,629.75x = 883,739,120.06
  5. Step 5: Solve for x
    x = 883,739,120.06/13,629.75
  6. Step 6: Final answer
    x = 64,838.98

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.