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Finding the Third Proportional to 11,727.75 and 25,734.75

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Solution

The third proportional to 11,727.75 and 25,734.75 is: 56,470.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,727.75 : 25,734.75 = 25,734.75 : x
  2. Step 2: Convert to fraction form
    11,727.75/25,734.75 = 25,734.75/x
  3. Step 3: Cross multiply
    11,727.75x = 25,734.75 × 25,734.75
  4. Step 4: Simplify right side
    11,727.75x = 662,277,357.56
  5. Step 5: Solve for x
    x = 662,277,357.56/11,727.75
  6. Step 6: Final answer
    x = 56,470.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.