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Finding the Third Proportional to 2,529.75 and 3,828.75

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Solution

The third proportional to 2,529.75 and 3,828.75 is: 5,794.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,529.75 : 3,828.75 = 3,828.75 : x
  2. Step 2: Convert to fraction form
    2,529.75/3,828.75 = 3,828.75/x
  3. Step 3: Cross multiply
    2,529.75x = 3,828.75 × 3,828.75
  4. Step 4: Simplify right side
    2,529.75x = 14,659,326.56
  5. Step 5: Solve for x
    x = 14,659,326.56/2,529.75
  6. Step 6: Final answer
    x = 5,794.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.